{"id":159885,"date":"2023-09-18T14:48:27","date_gmt":"2023-09-18T09:18:27","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=159885"},"modified":"2023-09-18T14:48:28","modified_gmt":"2023-09-18T09:18:28","slug":"a-three-member-committee-has-to-be-formed-from-a-group-of-9-people","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-three-member-committee-has-to-be-formed-from-a-group-of-9-people\/","title":{"rendered":"A three-member committee has to be formed from a group of 9 people"},"content":{"rendered":"\n<p>Q. A three-member committee has to be formed from a group of 9 people. How many such distinct committees can be formed?<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>(A) 27<\/td><td>(B) 72<\/td><td>(C) 81<\/td><td>(D) 84<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Ans: 84<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>For a\u00a0 formation of a three-member committee from available nine members.<\/p>\n\n\n\n<p>The number of distinct &#8216;r&#8217; committee\u00a0to be formed from &#8216;n&#8217; available\u00a0members is given by\u00a0<sup>n<\/sup>C<sub>r<\/sub>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"431\" height=\"42\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-931.png\" alt=\"\" class=\"wp-image-159886\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-931.png 431w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-931-300x29.png 300w\" sizes=\"(max-width: 431px) 100vw, 431px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Q. A three-member committee has to be formed from a group of 9 people. How many such distinct committees can be formed? (A) 27 (B) 72 (C) 81 (D) 84 Ans: 84 Sol: For a\u00a0 formation of a three-member committee from available nine members. The number of distinct &#8216;r&#8217; committee\u00a0to be formed from &#8216;n&#8217; available\u00a0members [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":159887,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5141],"tags":[5140],"class_list":["post-159885","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/159885","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=159885"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/159885\/revisions"}],"predecessor-version":[{"id":159888,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/159885\/revisions\/159888"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/159887"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=159885"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=159885"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=159885"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}