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In how many w...

Question

In how many ways can one select a cricket team of eleven from 13 players in which only 5 players can bowl. If each cricket team of 11 must include at least 4 bowlers.

A

28

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B

40

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C

12

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D

68

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Solution

The correct option is D
68

There are two ways of selecting the team
I team consisting of 4 bowlers and 7 batsman
⁵C₄x ⁸C₇ = 40

II team consisting of 5 bowlers and 6 batsman

⁵C₅x⁸C₆ = 28

Total ways = 40+28=68

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