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Determine the number of ways of choosing a cricket team (consists of 11 players) out of 18 players if a particular player is never chosen.

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Determine the number of ways of choosing a cricket team (consists of 11 players) out of 18 players if a particular player is never chosen.

(a) 12798

(b) 22800

(c) 31824

(d) 43290

The question was asked by my school teacher while I was bunking the class.

The origin of the question is Counting in chapter Counting of Discrete Mathematics

1 Answer

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The correct choice is (c) 31824

Easy explanation: If a particular player is never chosen that would mean 11 players are selected out of 18 players. Hence, required number of ways =  ^18C11 = 31824.

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