In how many ways can a cricket eleven be chosen

Asked by admin @ 04/08/2021 in Math viewed by 413 People

In how many ways can a cricket team of eleven be chosen out of a batch of 15 players if a particular player is always chosen?

Answered by admin @ 04/08/2021

Since, one player will be constant among the 11, we need to find 10 more players.

Also when one player is constant then the total will become 14.

10 players out of 14 can be found in the 14 C 10 ways

14 C 10 = 14! / 10! * 4!

= (14 * 13 * 12 * 11 * 10!) / 10! (4 * 3 * 2 * 1)

= (14 * 13 * 12 * 11) / (4 * 3 * 2 * 1)

= 1001 ways

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