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

  1. Chapter 7 Class 11 Permutations and Combinations
  2. Serial order wise
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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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