{"id":6950,"date":"2021-10-22T01:57:06","date_gmt":"2021-10-21T20:27:06","guid":{"rendered":"https:\/\/mathemerize.com\/?p=6950"},"modified":"2021-10-25T01:24:52","modified_gmt":"2021-10-24T19:54:52","slug":"a-student-is-to-answer-10-out-of-13-questions-in-an-examination-such-that-he-must-choose-atleast-4-from-the-first-five-questions-the-number-of-choices-available-to-him-is","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/a-student-is-to-answer-10-out-of-13-questions-in-an-examination-such-that-he-must-choose-atleast-4-from-the-first-five-questions-the-number-of-choices-available-to-him-is\/","title":{"rendered":"A student is to answer 10 out of 13 questions in an examination such that he must choose atleast 4 from the first five questions. The number of choices available to him is"},"content":{"rendered":"

Solution :<\/h2>\n

The number of choices available to him<\/p>\n

= \\(^5C_4\\) x \\(^8C_6\\) + \\(^5C_5\\) x\\(^8C_5\\)<\/p>\n

= 5.4.7 + 8.7<\/p>\n

= 140 + 56<\/p>\n

= 196<\/p>\n

\n

Similar Questions<\/h3>\n

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At an election, a voter may vote for any number of candidates not greater than the number of candidates to be elected. There are 10 candidates and 4 are to be elected. If a voter votes for atleast 1 candidate, then the number of ways in which he can vote is<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Solution : The number of choices available to him = \\(^5C_4\\) x \\(^8C_6\\) + \\(^5C_5\\) x\\(^8C_5\\) = 5.4.7 + 8.7 = 140 + 56 = 196 Similar Questions The number of ways in which 6 men and 5 women can dine at a round table, if no two women are to sit together, is given …<\/p>\n

A student is to answer 10 out of 13 questions in an examination such that he must choose atleast 4 from the first five questions. The number of choices available to him is<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","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":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[43,47],"tags":[],"yoast_head":"\nA student is to answer 10 out of 13 questions in an examination such that he must choose atleast 4 from the first five questions. 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