Arithmetic Ability
Permutations and Combinations

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Q.

There are 6 bowlers and 9 batsmen in a cricket club. In how many ways can a team of 11 be selected so that the team contains at least 4 bowlers?

View Answer

Correct choice: A

Explanation:

Possibilities Bowlers Batsmen Number of ways 6 9 1 4 7 (6C4*9C7) 2 5 6 (6C5*9C6) 3 6 5 (6C6*9C5) (6C4*9C7) = 15 x 36 = 540 (6C5*9C6) = 6 x 84 = 504 (6C6*9C5)= 1 x 126 = 126 Total = 1170
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