In how many ways can a cricket team of 11 pla | vedclass

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(D) To select a team of $11$ players from $16$ players,where $2$ specific players must always be included,we follow these steps:$1$. Since $2$ players

Vedclass · Accepted Answer

$2002$

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(D) To select a team of $11$ players from $16$ players,where $2$ specific players must always be included,we follow these steps:$1$. Since $2$ players are already fixed,we only need to select the remaining $11 - 2 = 9$ players.$2$. The number of available players remaining is $16 - 2 = 14$.$3$. The number of ways to select $9$ players from $14$ is given by the combination formula ${}^{n}C_{r} = \frac{n!}{r!(n-r)!}$.$4$. Substituting the values: ${}^{14}C_{9} = \frac{14!}{9!5!} = \frac{14 	imes 13 	imes 12 	imes 11 	imes 10}{5 	imes 4 	imes 3 	imes 2 	imes 1} = 2002$ ways.

In how many ways can a cricket team of $11$ players be selected out of $16$ players,if $2$ particular players are always to be included?

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