Q.

In a group of 13 cricket players, 4 are bowlers. Then in how many ways can they form a cricket team of 11 players in which at least 2 bowlers are included?

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a

55

b

72

c

78

d

none of these

answer is C.

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Detailed Solution

The number of ways can be given as follows:2 bowlers and 9 other players:  4C2×9C93 bowlers and 8 other players  4C3×9C84 bowlers and 7 other players:  4C4×9C7Hence, required number of ways is 6×1+4×9+1×36=78.
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