There are 12 volleyball players in total in a | vedclass

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(D) Total number of players = $12$. Since the captain is fixed,we need to select the remaining players to form a team of $9$. Number of players to be

Vedclass · Accepted Answer

$165$

Vedclass · Answer

(D) Total number of players = $12$. Since the captain is fixed,we need to select the remaining players to form a team of $9$. Number of players to be selected = $9 - 1 = 8$. Number of remaining players available = $12 - 1 = 11$. Therefore,the number of ways to form the team is given by the combination formula $^{n}C_{r} = \frac{n!}{r!(n-r)!}$. Required number of ways = $^{11}C_{8} = ^{11}C_{11-8} = ^{11}C_{3}$. $^{11}C_{3} = \frac{11 	imes 10 	imes 9}{3 	imes 2 	imes 1} = 11 	imes 5 	imes 3 = 165$.

There are $12$ volleyball players in total in a college,out of which a team of $9$ players is to be formed. If the captain always remains the same,in how many ways can the team be formed?

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