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In how many ways can one select a cricke...

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?

Text Solution

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A cricket team of 11 players is to be selected in such a way that there are exactly 4 bowlers.
4 bowlers can be selected in `""^5 C_4` ways and the remaining 7 players can be selected out of the 12 players in `""^12 C_7` ways.
Thus,
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