{"id":849,"date":"2023-08-11T17:25:49","date_gmt":"2023-08-11T11:55:49","guid":{"rendered":"https:\/\/iitmadrasstudentscommunity.me\/?p=849"},"modified":"2023-08-11T17:28:14","modified_gmt":"2023-08-11T11:58:14","slug":"statistics-week-6-graded-assignments-iit-madras","status":"publish","type":"post","link":"https:\/\/iitmadrasstudentscommunity.me\/statistics-week-6-graded-assignments-iit-madras\/","title":{"rendered":"Statistics Week 6 Graded Assignments IIT Madras"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"849\" class=\"elementor elementor-849\" data-elementor-post-type=\"post\">\n\t\t\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-fbb0981 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"fbb0981\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-99e514a\" data-id=\"99e514a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-82c7f1f elementor-widget elementor-widget-text-editor\" data-id=\"82c7f1f\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.15.0 - 02-08-2023 *\/\n.elementor-widget-text-editor.elementor-drop-cap-view-stacked .elementor-drop-cap{background-color:#69727d;color:#fff}.elementor-widget-text-editor.elementor-drop-cap-view-framed .elementor-drop-cap{color:#69727d;border:3px solid;background-color:transparent}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap{margin-top:8px}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap-letter{width:1em;height:1em}.elementor-widget-text-editor .elementor-drop-cap{float:left;text-align:center;line-height:1;font-size:50px}.elementor-widget-text-editor .elementor-drop-cap-letter{display:inline-block}<\/style>\t\t\t\t<div style=\"box-sizing: border-box; --listpad: 15px; --liststyle: disc; --flex-direction: initial; --flex-wrap: initial; --justify-content: initial; --align-items: initial; --align-content: initial; --gap: initial; --flex-basis: initial; --flex-grow: initial; --flex-shrink: initial; --order: initial; --align-self: initial; flex-basis: var(--flex-basis); flex-grow: var(--flex-grow); flex-shrink: var(--flex-shrink); order: var(--order); align-self: var(--align-self); flex-direction: var(--flex-direction); flex-wrap: var(--flex-wrap); justify-content: var(--justify-content); align-items: var(--align-items); align-content: var(--align-content); gap: var(--gap); position: relative; --swiper-theme-color: #000; --swiper-navigation-size: 44px; --swiper-pagination-bullet-size: 6px; --swiper-pagination-bullet-horizontal-gap: 6px; --widgets-spacing: 20px; width: 748px; font-family: Alata, sans-serif; color: #1f2025; font-size: 16px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\" data-id=\"53ee0b9\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\"><div style=\"box-sizing: border-box; transition: background .3s,border .3s,border-radius .3s,box-shadow .3s,transform var(--e-transform-transition-duration,.4s);\">\u00a0<\/div><\/div><div style=\"box-sizing: border-box; --listpad: 15px; --liststyle: disc; --flex-direction: initial; --flex-wrap: initial; --justify-content: initial; --align-items: initial; --align-content: initial; --gap: initial; --flex-basis: initial; --flex-grow: initial; --flex-shrink: initial; --order: initial; --align-self: initial; flex-basis: var(--flex-basis); flex-grow: var(--flex-grow); flex-shrink: var(--flex-shrink); order: var(--order); align-self: var(--align-self); flex-direction: var(--flex-direction); flex-wrap: var(--flex-wrap); justify-content: var(--justify-content); align-items: var(--align-items); align-content: var(--align-content); gap: var(--gap); position: relative; --swiper-theme-color: #000; --swiper-navigation-size: 44px; --swiper-pagination-bullet-size: 6px; --swiper-pagination-bullet-horizontal-gap: 6px; --widgets-spacing: 20px; width: 748px; margin-bottom: 20px; color: #1f2025; font-family: Poppins, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\" data-id=\"d6b7287\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\"><div style=\"box-sizing: border-box; transition: background .3s,border .3s,border-radius .3s,box-shadow .3s,transform var(--e-transform-transition-duration,.4s);\"><p style=\"box-sizing: border-box; margin: 0px 0px 30px; padding: 0px;\"><em style=\"box-sizing: border-box;\">Statistics week 6 graded assignment Complete\u00a0 Solutions Are Discussed In This Blog We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons Not Able To Complete Graded Assignments\u00a0<\/em><\/p><\/div><\/div>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a89c6b8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a89c6b8\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d599312\" data-id=\"d599312\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-873077f elementor-widget elementor-widget-text-editor\" data-id=\"873077f\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div style=\"margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;\"><div class=\"gcb-cols gcb-question-counter-increment gcb-question-row\" style=\"margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;\"><div id=\"ORWhsSNXc3CT\" class=\"qt-mc-question qt-standalone\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-question\" style=\"margin: 0px; padding: 0px;\"><h5 style=\"margin-bottom: 12px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: calc(11.62px); line-height: 20px; font-family: Roboto, 'Helvetica Neue', sans-serif;\"><span style=\"margin: 0px; padding: 0px; font-weight: bolder; font-family: Arial;\">1.We are experimenting with the new type of assessment, i.e. <span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd\ufffd\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; white-space: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">EMQ<\/span><\/span><\/span><\/span><\/span>, and would like to use the data of your scores of this graded assignment for analysis purpose. We will use an aggregate of the scores, and your personally identifiable information will not be shared with anyone. <\/span> <span style=\"margin: 0px; padding: 0px;\"><span id=\"docs-internal-guid-a8bbe30e-7fff-c858-a22b-3750887496dc\" style=\"margin: 0px; padding: 0px;\"><span class=\"yui-tag-span yui-tag\" style=\"margin: 0px; padding: 0px; font-family: Arial;\">Please click on the relevant option to let us know about your consent for using the data.<\/span><\/span><span style=\"margin: 0px; padding: 0px; font-family: Arial;\"><br style=\"margin: 0px; padding: 0px;\" \/><\/span><\/span><\/h5><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><\/div><div class=\"qt-choices\" style=\"margin: 16px 0px 0px; padding: 0px;\"><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"ORWhsSNXc3CT.0\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"ORWhsSNXc3CT\" type=\"radio\" data-index=\"0\" \/><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"ORWhsSNXc3CT.0\">I understand, and I agree for use of my data.<\/label><\/div><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"ORWhsSNXc3CT.1\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"ORWhsSNXc3CT\" type=\"radio\" data-index=\"1\" \/><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"ORWhsSNXc3CT.1\">I understand, and I don\u2019t agree for use of my data.<\/label><\/div><\/div><div class=\"qt-feedback\" style=\"margin: 0px; padding: 0px;\" role=\"alert\"><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;\"><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; color: #ff3b3b;\">No, the answer is incorrect.<\/span><br style=\"margin: 1rem 0px; padding: 0px;\" \/><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; color: #ff3b3b;\">Score: 0<\/span><\/h3><h3 class=\"feedback-header faculty-answer\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;\">Accepted Answers:<\/h3><div class=\"faculty-answer\" style=\"margin: 0px; padding: 0px; color: #05a660;\"><div style=\"margin: 0px; padding: 0px;\"><div style=\"margin: 0px; padding: 0px;\"><label style=\"margin: 0px; padding: 0px;\" for=\"ORWhsSNXc3CT.0\">I understand, and I agree for use of my data.<\/label><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><p>\u00a0<\/p><div style=\"margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;\"><div class=\"gcb-cols gcb-question-counter-increment gcb-question-row\" style=\"margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;\"><div class=\"gcb-col-counters gcb-show-question-counter\" style=\"margin: 0px; padding: 0px 5px 0px 0px; float: left;\">2.<\/div><div id=\"voq5UCJXcy9Q\" class=\"qt-mc-question qt-standalone\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-points\" style=\"margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;\"><em style=\"margin: 0px; padding: 0px;\">1 point<\/em><\/div><div class=\"qt-question\" style=\"margin: 0px; padding: 0px;\">How many 5-digit numbers can be formed from the numbers 0, 2, 4, 5, 7 and 9 (without repetition), such that it is divisible by 4?<\/div><div class=\"qt-choices\" style=\"margin: 16px 0px 0px; padding: 0px;\"><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"voq5UCJXcy9Q.0\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"voq5UCJXcy9Q\" type=\"radio\" data-index=\"0\" \/><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"voq5UCJXcy9Q.0\">120<\/label><\/div><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"voq5UCJXcy9Q.1\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"voq5UCJXcy9Q\" type=\"radio\" data-index=\"1\" \/><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"voq5UCJXcy9Q.1\">144<\/label><\/div><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"voq5UCJXcy9Q.2\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"voq5UCJXcy9Q\" type=\"radio\" data-index=\"2\" \/><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"voq5UCJXcy9Q.2\">132<\/label><\/div><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"voq5UCJXcy9Q.3\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"voq5UCJXcy9Q\" type=\"radio\" data-index=\"3\" \/><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"voq5UCJXcy9Q.3\">104<\/label><\/div><\/div><div class=\"qt-feedback\" style=\"margin: 0px; padding: 0px;\" role=\"alert\"><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;\"><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; color: #ff3b3b;\">No, the answer is incorrect.<\/span><br style=\"margin: 1rem 0px; padding: 0px;\" \/><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; color: #ff3b3b;\">Score: 0<\/span><\/h3><h3 class=\"feedback-header faculty-answer\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;\">Accepted Answers:<\/h3><div class=\"faculty-answer\" style=\"margin: 0px; padding: 0px; color: #05a660;\"><div style=\"margin: 0px; padding: 0px;\"><div style=\"margin: 0px; padding: 0px;\"><label style=\"margin: 0px; padding: 0px;\" for=\"voq5UCJXcy9Q.1\">144<\/label><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><p>\u00a0<\/p><div style=\"margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;\"><div id=\"NIxnF7Y4GgtP\" class=\"qt-question-group\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-introduction\" style=\"margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;\">\u00a0<\/div><div class=\"gcb-cols gcb-question-counter-increment gcb-question-row\" style=\"margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;\"><div class=\"gcb-col-counters gcb-show-question-counter\" style=\"margin: 0px; padding: 0px 5px 0px 0px; float: left;\">3.<\/div><div id=\"NIxnF7Y4GgtP.0.5454428924542976\" class=\"qt-sa-question qt-embedded\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-question\" style=\"margin: 0px; padding: 0px;\">There are 8 train stops between Chennai and Assam. How many train tickets are to be printed, so that a person can travel between any of the two stations (irrespective of direction of travel)?<\/div><div class=\"qt-response\" style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><div class=\"qt-feedback\" style=\"margin: 0px; padding: 0px;\" role=\"alert\"><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;\"><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; color: #ff3b3b;\">No, the answer is incorrect.<\/span><br style=\"margin: 1rem 0px; padding: 0px;\" \/><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; color: #ff3b3b;\">Score: 0<\/span><\/h3><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header faculty-answer\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;\">Accepted Answers:<\/h3><div class=\"faculty-answer\" style=\"margin: 0px; padding: 0px; color: #05a660;\">(Type: Numeric) 90<\/div><\/div><\/div><\/div><\/div><div class=\"qt-points\" style=\"margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;\"><em style=\"margin: 0px; padding: 0px;\">1 point<\/em><\/div><\/div><div class=\"qt-feedback qt-hidden\" style=\"margin: 0px; padding: 0px;\" role=\"alert\">\u00a0<\/div><\/div><\/div><p>\u00a0<\/p><div style=\"margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;\"><div id=\"uHZhDCfBXGkC\" class=\"qt-question-group\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-introduction\" style=\"margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;\">\u00a0<\/div><div class=\"gcb-cols gcb-question-counter-increment gcb-question-row\" style=\"margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;\"><div class=\"gcb-col-counters gcb-show-question-counter\" style=\"margin: 0px; padding: 0px 5px 0px 0px; float: left;\">4.<\/div><div id=\"uHZhDCfBXGkC.0.4716381283024896\" class=\"qt-sa-question qt-embedded\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-question\" style=\"margin: 0px; padding: 0px;\">A man desires to throw a party for some of his friends. In how many ways can he select 5 friends from a group of 15 friends, if the two of his friends(say \u2019A\u2019 and \u2019B\u2019) will not attend the party together?<\/div><div class=\"qt-response\" style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><div class=\"qt-feedback\" style=\"margin: 0px; padding: 0px;\" role=\"alert\"><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;\"><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; color: #ff3b3b;\">No, the answer is incorrect.<\/span><br style=\"margin: 1rem 0px; padding: 0px;\" \/><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; color: #ff3b3b;\">Score: 0<\/span><\/h3><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header faculty-answer\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;\">Accepted Answers:<\/h3><div class=\"faculty-answer\" style=\"margin: 0px; padding: 0px; color: #05a660;\">(Type: Numeric) 2717<\/div><\/div><\/div><\/div><\/div><div class=\"qt-points\" style=\"margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;\"><em style=\"margin: 0px; padding: 0px;\">1 point<\/em><\/div><\/div><div class=\"qt-feedback qt-hidden\" style=\"margin: 0px; padding: 0px;\" role=\"alert\">\u00a0<\/div><\/div><\/div><p>\u00a0<\/p><div style=\"margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;\"><div id=\"9vWBIBmD85br\" class=\"qt-question-group\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-introduction\" style=\"margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;\">\u00a0<\/div><div class=\"gcb-cols gcb-question-counter-increment gcb-question-row\" style=\"margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;\"><div class=\"gcb-col-counters gcb-show-question-counter\" style=\"margin: 0px; padding: 0px 5px 0px 0px; float: left;\">\u00a0<\/div><div id=\"9vWBIBmD85br.0.5337465959219200\" class=\"qt-sa-question qt-embedded\" style=\"margin: 0px; padding: 0px;\"><h4 class=\"qt-question\" style=\"margin: 0px; padding: 0px;\">5.Suman has 10 clothes of different types, say, C\u2081,C\u2082, &#8230;,C\u2081\u2080 and she wants to wear all these clothes at different days, say, D\u2081,D\u2082,&#8230;,D\u2081\u2080. Due to some reason, C\u2081 must be used either at D\u2088 or at D\u2089 and C\u2082 can be used either at D\u2089 or at D\u2088 or at D\u2081\u2080. Every cloth is to be used at only one day, in how many ways can clothes be used?<\/h4><div class=\"qt-response\" style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><div class=\"qt-feedback\" style=\"margin: 0px; padding: 0px;\" role=\"alert\"><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;\"><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; color: #ff3b3b;\">No, the answer is incorrect.<\/span><br style=\"margin: 1rem 0px; padding: 0px;\" \/><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; color: #ff3b3b;\">Score: 0<\/span><\/h3><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header faculty-answer\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;\">Accepted Answers:<\/h3><div class=\"faculty-answer\" style=\"margin: 0px; padding: 0px; color: #05a660;\">(Type: Numeric) 161280<\/div><\/div><\/div><\/div><\/div><div class=\"qt-points\" style=\"margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;\"><em style=\"margin: 0px; padding: 0px;\">1 point<\/em><\/div><\/div><div class=\"qt-feedback qt-hidden\" style=\"margin: 0px; padding: 0px;\" role=\"alert\">\u00a0<\/div><\/div><\/div><p>\u00a0<\/p><div style=\"margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;\"><div id=\"oFCsMU9R2h1k\" class=\"qt-question-group\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-introduction\" style=\"margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;\">\u00a0<\/div><div class=\"gcb-cols gcb-question-counter-increment gcb-question-row\" style=\"margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;\"><div class=\"gcb-col-counters gcb-show-question-counter\" style=\"margin: 0px; padding: 0px 5px 0px 0px; float: left;\">\u00a0<\/div><div id=\"oFCsMU9R2h1k.0.6243667819888640\" class=\"qt-mc-question qt-embedded\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-points\" style=\"margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;\"><em style=\"margin: 0px; padding: 0px;\">1 point<\/em><\/div><div class=\"qt-question\" style=\"margin: 0px; padding: 0px;\">6. How many 21-digit number can be formed such that they read the same way from either of the side (that is the number should be palindrome)?<\/div><div class=\"qt-choices\" style=\"margin: 16px 0px 0px; padding: 0px;\"><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"oFCsMU9R2h1k.0.6243667819888640.0\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"oFCsMU9R2h1k.0.6243667819888640\" type=\"radio\" data-index=\"0\" \/><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"oFCsMU9R2h1k.0.6243667819888640.0\">10\u00b9\u2070 x 9<\/label><\/div><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"oFCsMU9R2h1k.0.6243667819888640.1\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"oFCsMU9R2h1k.0.6243667819888640\" type=\"radio\" data-index=\"1\" \/><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"oFCsMU9R2h1k.0.6243667819888640.1\">10\u00b2\u00b9<\/label><\/div><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"oFCsMU9R2h1k.0.6243667819888640.2\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"oFCsMU9R2h1k.0.6243667819888640\" type=\"radio\" data-index=\"2\" \/><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"oFCsMU9R2h1k.0.6243667819888640.2\">10\u00b2\u2070 x 9<\/label><\/div><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"oFCsMU9R2h1k.0.6243667819888640.3\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"oFCsMU9R2h1k.0.6243667819888640\" type=\"radio\" data-index=\"3\" \/><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"oFCsMU9R2h1k.0.6243667819888640.3\">10\u00b9\u00b9 x 9<\/label><\/div><\/div><div class=\"qt-feedback\" style=\"margin: 0px; padding: 0px;\" role=\"alert\"><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;\"><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; color: #ff3b3b;\">No, the answer is incorrect.<\/span><br style=\"margin: 1rem 0px; padding: 0px;\" \/><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; color: #ff3b3b;\">Score: 0<\/span><\/h3><h3 class=\"feedback-header faculty-answer\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;\">Accepted Answers:<\/h3><div class=\"faculty-answer\" style=\"margin: 0px; padding: 0px; color: #05a660;\"><div style=\"margin: 0px; padding: 0px;\"><div style=\"margin: 0px; padding: 0px;\"><label style=\"margin: 0px; padding: 0px;\" for=\"oFCsMU9R2h1k.0.6243667819888640.0\">10\u00b9\u2070 x 9<\/label><\/div><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"qt-feedback qt-hidden\" style=\"margin: 0px; padding: 0px;\" role=\"alert\">\u00a0<\/div><\/div><\/div><p>\u00a0<\/p><div style=\"margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;\"><div id=\"SsYKSWJuAUTp\" class=\"qt-question-group\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-introduction\" style=\"margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;\">\u00a0<\/div><div class=\"gcb-cols gcb-question-counter-increment gcb-question-row\" style=\"margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;\"><div class=\"gcb-col-counters gcb-show-question-counter\" style=\"margin: 0px; padding: 0px 5px 0px 0px; float: left;\">\u00a0<\/div><div id=\"SsYKSWJuAUTp.0.6377422798716928\" class=\"qt-mc-question qt-embedded\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-points\" style=\"margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;\"><em style=\"margin: 0px; padding: 0px;\">1 point<\/em><\/div><h4 class=\"qt-question\" style=\"margin: 0px; padding: 0px;\">7. Find the total number of ways to form a 3 digit number(without repetition) from the digits 0,1,2, &#8230;, 5.<\/h4><div class=\"qt-choices\" style=\"margin: 16px 0px 0px; padding: 0px;\"><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"SsYKSWJuAUTp.0.6377422798716928.0\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"SsYKSWJuAUTp.0.6377422798716928\" type=\"radio\" data-index=\"0\" \/><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"SsYKSWJuAUTp.0.6377422798716928.0\">5 + \u2075P\u2082<\/label><\/div><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"SsYKSWJuAUTp.0.6377422798716928.1\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"SsYKSWJuAUTp.0.6377422798716928\" type=\"radio\" data-index=\"1\" \/><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"SsYKSWJuAUTp.0.6377422798716928.1\">\u2076P\u2083<\/label><\/div><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"SsYKSWJuAUTp.0.6377422798716928.2\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"SsYKSWJuAUTp.0.6377422798716928\" type=\"radio\" data-index=\"2\" \/><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"SsYKSWJuAUTp.0.6377422798716928.2\">5 x \u2075P\u2082<\/label><\/div><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"SsYKSWJuAUTp.0.6377422798716928.3\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"SsYKSWJuAUTp.0.6377422798716928\" type=\"radio\" data-index=\"3\" \/><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"SsYKSWJuAUTp.0.6377422798716928.3\">4 x \u2074P\u2082<\/label><\/div><\/div><div class=\"qt-feedback\" style=\"margin: 0px; padding: 0px;\" role=\"alert\"><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;\"><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; color: #ff3b3b;\">No, the answer is incorrect.<\/span><br style=\"margin: 1rem 0px; padding: 0px;\" \/><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; color: #ff3b3b;\">Score: 0<\/span><\/h3><h3 class=\"feedback-header faculty-answer\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;\">Accepted Answers:<\/h3><div class=\"faculty-answer\" style=\"margin: 0px; padding: 0px; color: #05a660;\"><div style=\"margin: 0px; padding: 0px;\"><div style=\"margin: 0px; padding: 0px;\"><label style=\"margin: 0px; padding: 0px;\" for=\"SsYKSWJuAUTp.0.6377422798716928.2\">5 x \u2075P\u2082<\/label><\/div><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"qt-feedback qt-hidden\" style=\"margin: 0px; padding: 0px;\" role=\"alert\">\u00a0<\/div><\/div><\/div><p>\u00a0<\/p><div style=\"margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;\"><div id=\"sMB5DR1eg8gM\" class=\"qt-question-group\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-introduction\" style=\"margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;\">\u00a0<\/div><div class=\"gcb-cols gcb-question-counter-increment gcb-question-row\" style=\"margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;\"><h4 class=\"gcb-col-counters gcb-show-question-counter\" style=\"margin: 0px; padding: 0px 5px 0px 0px; float: left;\">8.\u00a0<\/h4><div id=\"sMB5DR1eg8gM.0.6263277734592512\" class=\"qt-mc-question qt-embedded\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-points\" style=\"margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;\"><em style=\"margin: 0px; padding: 0px;\">1 point<\/em><\/div><h4 class=\"qt-question\" style=\"margin: 0px; padding: 0px;\">In a restaurant, 16 men and 10 women are seated on 26 chairs at a round table. Find the total number of possible ways such that 16 men are always sitting next to each other.<\/h4><div class=\"qt-choices\" style=\"margin: 16px 0px 0px; padding: 0px;\"><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"sMB5DR1eg8gM.0.6263277734592512.0\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"sMB5DR1eg8gM.0.6263277734592512\" type=\"radio\" data-index=\"0\" \/><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"sMB5DR1eg8gM.0.6263277734592512.0\">25!<\/label><\/div><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"sMB5DR1eg8gM.0.6263277734592512.1\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"sMB5DR1eg8gM.0.6263277734592512\" type=\"radio\" data-index=\"1\" \/><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"sMB5DR1eg8gM.0.6263277734592512.1\">10! x 16!<\/label><\/div><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"sMB5DR1eg8gM.0.6263277734592512.2\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"sMB5DR1eg8gM.0.6263277734592512\" type=\"radio\" data-index=\"2\" \/><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"sMB5DR1eg8gM.0.6263277734592512.2\">9! x 15!<\/label><\/div><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"sMB5DR1eg8gM.0.6263277734592512.3\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"sMB5DR1eg8gM.0.6263277734592512\" type=\"radio\" data-index=\"3\" \/><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"sMB5DR1eg8gM.0.6263277734592512.3\">11! x 16!<\/label><\/div><\/div><div class=\"qt-feedback\" style=\"margin: 0px; padding: 0px;\" role=\"alert\"><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;\"><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; color: #ff3b3b;\">No, the answer is incorrect.<\/span><br style=\"margin: 1rem 0px; padding: 0px;\" \/><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; color: #ff3b3b;\">Score: 0<\/span><\/h3><h3 class=\"feedback-header faculty-answer\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;\">Accepted Answers:<\/h3><div class=\"faculty-answer\" style=\"margin: 0px; padding: 0px; color: #05a660;\"><div style=\"margin: 0px; padding: 0px;\"><div style=\"margin: 0px; padding: 0px;\"><label style=\"margin: 0px; padding: 0px;\" for=\"sMB5DR1eg8gM.0.6263277734592512.1\">10! x 16!<\/label><\/div><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"qt-feedback qt-hidden\" style=\"margin: 0px; padding: 0px;\" role=\"alert\">\u00a0<\/div><\/div><\/div><p>\u00a0<\/p><div style=\"margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;\"><div id=\"DxEFa8emwPfS\" class=\"qt-question-group\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-introduction\" style=\"margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;\">\u00a0<\/div><div class=\"gcb-cols gcb-question-counter-increment gcb-question-row\" style=\"margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;\"><div class=\"gcb-col-counters gcb-show-question-counter\" style=\"margin: 0px; padding: 0px 5px 0px 0px; float: left;\">9.\u00a0<\/div><div id=\"DxEFa8emwPfS.0.5326634051698688\" class=\"qt-sa-question qt-embedded\" style=\"margin: 0px; padding: 0px;\"><h4 class=\"qt-question\" style=\"margin: 0px; padding: 0px;\">In how many ways can a group of 4 players be formed from 12 state level players and 8 district level players such that the group contains exactly 1 district level player?<\/h4><div class=\"qt-response\" style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><div class=\"qt-feedback\" style=\"margin: 0px; padding: 0px;\" role=\"alert\"><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;\"><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; color: #ff3b3b;\">No, the answer is incorrect.<\/span><br style=\"margin: 1rem 0px; padding: 0px;\" \/><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; color: #ff3b3b;\">Score: 0<\/span><\/h3><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header faculty-answer\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;\">Accepted Answers:<\/h3><div class=\"faculty-answer\" style=\"margin: 0px; padding: 0px; color: #05a660;\">(Type: Numeric) 1760<\/div><\/div><\/div><\/div><\/div><div class=\"qt-points\" style=\"margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;\"><em style=\"margin: 0px; padding: 0px;\">1 point<\/em><\/div><\/div><div class=\"qt-feedback qt-hidden\" style=\"margin: 0px; padding: 0px;\" role=\"alert\">\u00a0<\/div><\/div><\/div><p>\u00a0<\/p><div style=\"margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;\"><div id=\"8QDSL1ABc9LL\" class=\"qt-question-group\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-introduction\" style=\"margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;\">\u00a0<\/div><div class=\"gcb-cols gcb-question-counter-increment gcb-question-row\" style=\"margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;\"><div class=\"gcb-col-counters gcb-show-question-counter\" style=\"margin: 0px; padding: 0px 5px 0px 0px; float: left;\">\u00a0<\/div><div id=\"8QDSL1ABc9LL.0.5710116011638784\" class=\"qt-sa-question qt-embedded\" style=\"margin: 0px; padding: 0px;\"><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><h4 class=\"qt-question\" style=\"margin: 0px; padding: 0px;\">10. Find the value of\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.02778em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">r<\/span><\/span><\/span><\/span><\/span>\u00a0such that the ratio of\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">3\ufffd\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"msupsub\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;\"><span class=\"\" style=\"margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;\"><span class=\"sizing reset-size6 size3 mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;\"><span class=\"mord mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.13889em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">P<\/span><span class=\"msupsub\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.151392em;\"><span class=\"\" style=\"margin: 0px 0.05em 0px -0.13889em; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.55em;\"><span class=\"sizing reset-size6 size3 mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;\"><span class=\"mord mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal mtight\" style=\"margin: 0px 0.02778em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">r<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0and\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">4\ufffd\ufffd\u22121<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"msupsub\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;\"><span class=\"\" style=\"margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;\"><span class=\"sizing reset-size6 size3 mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;\"><span class=\"mord mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">4<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.13889em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">P<\/span><span class=\"msupsub\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.301108em;\"><span class=\"\" style=\"margin: 0px 0.05em 0px -0.13889em; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.55em;\"><span class=\"sizing reset-size6 size3 mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;\"><span class=\"mord mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal mtight\" style=\"margin: 0px 0.02778em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">r<\/span><span class=\"mbin mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u2212<\/span><span class=\"mord mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0will be\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">12<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mfrac\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 1.32144em;\"><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.314em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">2<\/span><\/span><\/span><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.677em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>?<\/h4><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><div class=\"qt-response\" style=\"margin: 0px; padding: 0px;\"><input id=\"qt-response-num-id-8QDSL1ABc9LL.0.5710116011638784\" style=\"margin-top: 12px; margin-bottom: 8px; padding-top: 2px; padding-bottom: 2px; font-family: inherit; font-size: inherit; width: 1011.36px; border-width: 0px 0px 1px; border-top-style: initial; border-right-style: initial; border-left-style: initial; border-color: #05a660;\" disabled=\"disabled\" step=\"any\" type=\"number\" \/><\/div><div class=\"qt-feedback\" style=\"margin: 0px; padding: 0px;\" role=\"alert\"><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;\"><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; color: #ff3b3b;\">No, the answer is incorrect.<\/span><br style=\"margin: 1rem 0px; padding: 0px;\" \/><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; color: #ff3b3b;\">Score: 0<\/span><\/h3><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header faculty-answer\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;\">Accepted Answers:<\/h3><div class=\"faculty-answer\" style=\"margin: 0px; padding: 0px; color: #05a660;\">(Type: Numeric) 3<\/div><\/div><\/div><\/div><\/div><div class=\"qt-points\" style=\"margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;\"><em style=\"margin: 0px; padding: 0px;\">1 point<\/em><\/div><\/div><div class=\"qt-feedback qt-hidden\" style=\"margin: 0px; padding: 0px;\" role=\"alert\">\u00a0<\/div><\/div><\/div><p>\u00a0<\/p><div style=\"margin: 0px; padding: 0px; color: rgba(0, 0, 0, 0.87); font-family: Roboto, 'Helvetica Neue', sans-serif; font-size: 14px; background-color: #fafafc;\"><div id=\"tmtJqmnvDhcg\" class=\"qt-question-group\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-introduction\" style=\"margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;\">\u00a0<\/div><div class=\"gcb-cols gcb-question-counter-increment gcb-question-row\" style=\"margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;\"><div class=\"gcb-col-counters gcb-show-question-counter\" style=\"margin: 0px; padding: 0px 5px 0px 0px; float: left;\">\u00a0<\/div><div id=\"tmtJqmnvDhcg.0.6686620145156096\" class=\"qt-mc-question qt-embedded\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-points\" style=\"margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;\"><em style=\"margin: 0px; padding: 0px;\">1 point<\/em><\/div><div class=\"qt-question\" style=\"margin: 0px; padding: 0px;\">Choose the incorrect option\/s for n&gt;2 :<\/div><div class=\"qt-choices\" style=\"margin: 16px 0px 0px; padding: 0px;\"><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"tmtJqmnvDhcg.0.6686620145156096.0\" style=\"padding: 0px; font-family: inherit; font-size: inherit;\" disabled=\"disabled\" name=\"tmtJqmnvDhcg.0.6686620145156096\" type=\"checkbox\" data-index=\"0\" \/><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"tmtJqmnvDhcg.0.6686620145156096.0\"><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"tmtJqmnvDhcg.0.6686620145156096.0\"><span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd\ufffd\ufffd+\ufffd\ufffd\ufffd\u22121=\ufffd+1\ufffd\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"msupsub\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.664392em;\"><span class=\"\" style=\"margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;\"><span class=\"sizing reset-size6 size3 mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;\"><span class=\"mord mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">n<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.07153em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">C<\/span><span class=\"msupsub\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.151392em;\"><span class=\"\" style=\"margin: 0px 0.05em 0px -0.07153em; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.55em;\"><span class=\"sizing reset-size6 size3 mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;\"><span class=\"mord mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal mtight\" style=\"margin: 0px 0.02778em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">r<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mbin\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">+<\/span><span class=\"msupsub\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.664392em;\"><span class=\"\" style=\"margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;\"><span class=\"sizing reset-size6 size3 mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;\"><span class=\"mord mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">n<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.07153em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">C<\/span><span class=\"msupsub\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.301108em;\"><span class=\"\" style=\"margin: 0px 0.05em 0px -0.07153em; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.55em;\"><span class=\"sizing reset-size6 size3 mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;\"><span class=\"mord mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal mtight\" style=\"margin: 0px 0.02778em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">r<\/span><span class=\"mbin mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u2212<\/span><span class=\"mord mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mrel\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mrel\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">=<\/span><span class=\"msupsub\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;\"><span class=\"\" style=\"margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;\"><span class=\"sizing reset-size6 size3 mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;\"><span class=\"mord mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">n<\/span><span class=\"mbin mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">+<\/span><span class=\"mord mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.07153em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">C<\/span><span class=\"msupsub\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.151392em;\"><span class=\"\" style=\"margin: 0px 0.05em 0px -0.07153em; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.55em;\"><span class=\"sizing reset-size6 size3 mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;\"><span class=\"mord mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal mtight\" style=\"margin: 0px 0.02778em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">r<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/label><\/label><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><\/div><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"tmtJqmnvDhcg.0.6686620145156096.1\" style=\"padding: 0px; font-family: inherit; font-size: inherit;\" disabled=\"disabled\" name=\"tmtJqmnvDhcg.0.6686620145156096\" type=\"checkbox\" data-index=\"1\" \/><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"tmtJqmnvDhcg.0.6686620145156096.1\"><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"tmtJqmnvDhcg.0.6686620145156096.1\"><span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd\ufffd\ufffd=1<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"msupsub\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.664392em;\"><span class=\"\" style=\"margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;\"><span class=\"sizing reset-size6 size3 mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;\"><span class=\"mord mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">n<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.07153em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">C<\/span><span class=\"msupsub\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.151392em;\"><span class=\"\" style=\"margin: 0px 0.05em 0px -0.07153em; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.55em;\"><span class=\"sizing reset-size6 size3 mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;\"><span class=\"mord mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal mtight\" style=\"margin: 0px 0.02778em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">r<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mrel\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">=<\/span><\/span><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">1<\/span><\/span><\/span><\/span><\/span>\u00a0for\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd=0<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.02778em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">r<\/span><span class=\"mrel\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">=<\/span><\/span><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">0<\/span><\/span><\/span><\/span><\/span>\u00a0and\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd=\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.02778em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">r<\/span><span class=\"mrel\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">=<\/span><\/span><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">n<\/span><\/span><\/span><\/span><\/span><\/label><\/label><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><\/div><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"tmtJqmnvDhcg.0.6686620145156096.2\" style=\"padding: 0px; font-family: inherit; font-size: inherit;\" disabled=\"disabled\" name=\"tmtJqmnvDhcg.0.6686620145156096\" type=\"checkbox\" data-index=\"2\" \/><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"tmtJqmnvDhcg.0.6686620145156096.2\"><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"tmtJqmnvDhcg.0.6686620145156096.2\"><span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; text-rendering: auto; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd\ufffd\ufffd=\ufffd\u22121\ufffd\ufffd\u22121+\ufffd\u22121\ufffd\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"msupsub\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.664392em;\"><span class=\"\" style=\"margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;\"><span class=\"sizing reset-size6 size3 mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;\"><span class=\"mord mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">n<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.07153em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">C<\/span><span class=\"msupsub\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.151392em;\"><span class=\"\" style=\"margin: 0px 0.05em 0px -0.07153em; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.55em;\"><span class=\"sizing reset-size6 size3 mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;\"><span class=\"mord mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal mtight\" style=\"margin: 0px 0.02778em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">r<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mrel\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mrel\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">=<\/span><span class=\"msupsub\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;\"><span class=\"\" style=\"margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;\"><span class=\"sizing reset-size6 size3 mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;\"><span class=\"mord mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">n<\/span><span class=\"mbin mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u2212<\/span><span class=\"mord mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.07153em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">C<\/span><span class=\"msupsub\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.301108em;\"><span class=\"\" style=\"margin: 0px 0.05em 0px -0.07153em; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.55em;\"><span class=\"sizing reset-size6 size3 mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;\"><span class=\"mord mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal mtight\" style=\"margin: 0px 0.02778em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">r<\/span><span class=\"mbin mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u2212<\/span><span class=\"mord mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mbin\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">+<\/span><span class=\"msupsub\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.814108em;\"><span class=\"\" style=\"margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;\"><span class=\"sizing reset-size6 size3 mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;\"><span class=\"mord mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">n<\/span><span class=\"mbin mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u2212<\/span><span class=\"mord mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.07153em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">C<\/span><span class=\"msupsub\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.151392em;\"><span class=\"\" style=\"margin: 0px 0.05em 0px -0.07153em; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.55em;\"><span class=\"sizing reset-size6 size3 mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;\"><span class=\"mord mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal mtight\" style=\"margin: 0px 0.02778em 0px 0px; padding: 0px; border-color: currentcolor; font-family: KaTeX_Math; font-style: italic;\">r<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/label><\/label><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><\/div><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"tmtJqmnvDhcg.0.6686620145156096.3\" style=\"padding: 0px; font-family: inherit; font-size: inherit;\" disabled=\"disabled\" name=\"tmtJqmnvDhcg.0.6686620145156096\" type=\"checkbox\" data-index=\"3\" \/><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"tmtJqmnvDhcg.0.6686620145156096.3\">None of the above<\/label><\/div><\/div><div class=\"qt-feedback\" style=\"margin: 0px; padding: 0px;\" role=\"alert\"><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;\"><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; color: #ff3b3b;\">No, the answer is incorrect.<\/span><br style=\"margin: 1rem 0px; padding: 0px;\" \/><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; color: #ff3b3b;\">Score: 0<\/span><\/h3><h3 class=\"feedback-header faculty-answer\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;\">Accepted Answers:<\/h3><div class=\"faculty-answer\" style=\"margin: 0px; padding: 0px; color: #05a660;\"><div style=\"margin: 0px; padding: 0px;\"><div style=\"margin: 0px; padding: 0px;\"><label style=\"margin: 0px; padding: 0px;\" for=\"tmtJqmnvDhcg.0.6686620145156096.3\">None of the above<\/label><\/div><div><label style=\"margin: 0px; padding: 0px;\" for=\"tmtJqmnvDhcg.0.6686620145156096.3\">\u00a0<\/label><\/div><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"qt-feedback qt-hidden\" style=\"margin: 0px; padding: 0px;\" role=\"alert\">\u00a0<\/div><\/div><\/div>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3d82f42 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3d82f42\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-55c84dd\" data-id=\"55c84dd\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-696e860 elementor-button-info elementor-align-center elementor-widget elementor-widget-button\" data-id=\"696e860\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/drive.google.com\/drive\/folders\/1CQ7poKsuincWknz_U7PbTUooEBJ5ac6C?usp=drive_link\" target=\"_blank\" rel=\"noopener\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Graded Assignments Full Solutions PDF <\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6f1a38a elementor-share-buttons--view-icon-text elementor-share-buttons--skin-gradient elementor-share-buttons--shape-square elementor-grid-0 elementor-share-buttons--color-official elementor-widget elementor-widget-share-buttons\" data-id=\"6f1a38a\" data-element_type=\"widget\" data-widget_type=\"share-buttons.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<link rel=\"stylesheet\" href=\"https:\/\/iitmadrasstudentscommunity.me\/wp-content\/plugins\/elementor-pro\/assets\/css\/widget-share-buttons.min.css\">\t\t<div class=\"elementor-grid\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-grid-item\">\n\t\t\t\t\t\t<div\n\t\t\t\t\t\t\tclass=\"elementor-share-btn elementor-share-btn_whatsapp\"\n\t\t\t\t\t\t\trole=\"button\"\n\t\t\t\t\t\t\ttabindex=\"0\"\n\t\t\t\t\t\t\taria-label=\"Share on whatsapp\"\n\t\t\t\t\t\t>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-share-btn__icon\">\n\t\t\t\t\t\t\t\t<i class=\"fab fa-whatsapp\" aria-hidden=\"true\"><\/i>\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"elementor-share-btn__text\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-share-btn__title\">\n\t\t\t\t\t\t\t\t\t\tWhatsApp\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-grid-item\">\n\t\t\t\t\t\t<div\n\t\t\t\t\t\t\tclass=\"elementor-share-btn elementor-share-btn_telegram\"\n\t\t\t\t\t\t\trole=\"button\"\n\t\t\t\t\t\t\ttabindex=\"0\"\n\t\t\t\t\t\t\taria-label=\"Share on telegram\"\n\t\t\t\t\t\t>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-share-btn__icon\">\n\t\t\t\t\t\t\t\t<i class=\"fab fa-telegram\" aria-hidden=\"true\"><\/i>\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"elementor-share-btn__text\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-share-btn__title\">\n\t\t\t\t\t\t\t\t\t\tTelegram\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-grid-item\">\n\t\t\t\t\t\t<div\n\t\t\t\t\t\t\tclass=\"elementor-share-btn elementor-share-btn_print\"\n\t\t\t\t\t\t\trole=\"button\"\n\t\t\t\t\t\t\ttabindex=\"0\"\n\t\t\t\t\t\t\taria-label=\"Share on print\"\n\t\t\t\t\t\t>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-share-btn__icon\">\n\t\t\t\t\t\t\t\t<i class=\"fas fa-print\" aria-hidden=\"true\"><\/i>\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"elementor-share-btn__text\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-share-btn__title\">\n\t\t\t\t\t\t\t\t\t\tPrint\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-grid-item\">\n\t\t\t\t\t\t<div\n\t\t\t\t\t\t\tclass=\"elementor-share-btn elementor-share-btn_facebook\"\n\t\t\t\t\t\t\trole=\"button\"\n\t\t\t\t\t\t\ttabindex=\"0\"\n\t\t\t\t\t\t\taria-label=\"Share on facebook\"\n\t\t\t\t\t\t>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-share-btn__icon\">\n\t\t\t\t\t\t\t\t<i class=\"fab fa-facebook\" aria-hidden=\"true\"><\/i>\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"elementor-share-btn__text\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-share-btn__title\">\n\t\t\t\t\t\t\t\t\t\tFacebook\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a6aebd4 elementor-post-navigation-borders-yes elementor-widget elementor-widget-post-navigation\" data-id=\"a6aebd4\" data-element_type=\"widget\" data-widget_type=\"post-navigation.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<link rel=\"stylesheet\" href=\"https:\/\/iitmadrasstudentscommunity.me\/wp-content\/plugins\/elementor-pro\/assets\/css\/widget-theme-elements.min.css\">\t\t<div class=\"elementor-post-navigation\">\n\t\t\t<div class=\"elementor-post-navigation__prev elementor-post-navigation__link\">\n\t\t\t\t<a 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class=\"post-navigation__next--label\">Next<\/span><span class=\"post-navigation__next--title\">Maths Week 7 Graded Assignments IIT Madras<\/span><\/span><span class=\"post-navigation__arrow-wrapper post-navigation__arrow-next\"><i class=\"fa fa-angle-right\" aria-hidden=\"true\"><\/i><span class=\"elementor-screen-only\">Next<\/span><\/span><\/a>\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>\u00a0 Statistics week 6 graded assignment Complete\u00a0 Solutions Are Discussed In This Blog We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons Not Able To Complete Graded Assignments\u00a0 1.We are experimenting with the new type of assessment, i.e. \ufffd\ufffd\ufffdEMQ, and would like to use the data of your&hellip;&nbsp;<a href=\"https:\/\/iitmadrasstudentscommunity.me\/statistics-week-6-graded-assignments-iit-madras\/\" class=\"\" rel=\"bookmark\">Read More &raquo;<span class=\"screen-reader-text\">Statistics Week 6 Graded Assignments IIT Madras<\/span><\/a><\/p>\n","protected":false},"author":4,"featured_media":833,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"neve_meta_sidebar":"","neve_meta_container":"","neve_meta_enable_content_width":"","neve_meta_content_width":0,"neve_meta_title_alignment":"","neve_meta_author_avatar":"","neve_post_elements_order":"","neve_meta_disable_header":"","neve_meta_disable_footer":"","neve_meta_disable_title":"","neve_meta_reading_time":"","_themeisle_gutenberg_block_has_review":false,"_ti_tpc_template_sync":false,"_ti_tpc_template_id":"","footnotes":""},"categories":[10],"tags":[],"_links":{"self":[{"href":"https:\/\/iitmadrasstudentscommunity.me\/wp-json\/wp\/v2\/posts\/849"}],"collection":[{"href":"https:\/\/iitmadrasstudentscommunity.me\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/iitmadrasstudentscommunity.me\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/iitmadrasstudentscommunity.me\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/iitmadrasstudentscommunity.me\/wp-json\/wp\/v2\/comments?post=849"}],"version-history":[{"count":4,"href":"https:\/\/iitmadrasstudentscommunity.me\/wp-json\/wp\/v2\/posts\/849\/revisions"}],"predecessor-version":[{"id":853,"href":"https:\/\/iitmadrasstudentscommunity.me\/wp-json\/wp\/v2\/posts\/849\/revisions\/853"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/iitmadrasstudentscommunity.me\/wp-json\/wp\/v2\/media\/833"}],"wp:attachment":[{"href":"https:\/\/iitmadrasstudentscommunity.me\/wp-json\/wp\/v2\/media?parent=849"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/iitmadrasstudentscommunity.me\/wp-json\/wp\/v2\/categories?post=849"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/iitmadrasstudentscommunity.me\/wp-json\/wp\/v2\/tags?post=849"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}