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In how many ways a team of $11$ players can be selected from a list of $16$ players such that $2$ particular players should never be included in the selection.

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${}^{13}C_{10}$

${}^{13}C_{11}$

${}^{12}C_{11}$

${}^{14}C_{11}$

answer is D.

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Detailed Solution

The number of ways to select a team of 11 players from a list of 16 players, always excluding 2 particular players $= {}^{(16 - 2)}C_{11} = {}^{14}C_{11}$

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