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Ex 7.4, 7 - In how many ways can one select a cricket team - Combination

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Ex7.4, 7 In how many ways can one select a cricket team of eleven from 17 players in which only 5 players can bowl. If each cricket team of 11 must include exactly 4 bowlers? Total number ways = 5C4 12C7 = 5!/(4!(5 4)!) 12!/(7!(12 7)!) = 5!/4!1! 12!/7!5! = (12! )/(4! 7!) = (12 11 10 9 8 7! )/((4 3 2 1) 7!) = 3960

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.