Question

In how many ways can a cricket team of eleven players be chosen out of a batch of $15$ players if a particular player is never chosen?

• A. ${}^{14}{C}_3$
• B. ${}^{14}{C}_0$
• C. ${}^{14}{C}_{14}$
• D. None of these

Answer 1

The correct option is A ${}^{14}{C}_3$

If a particular player is never chosen.

This means that $11$ players are selected out of the remaining $14$ players.
$\therefore$ Required number of ways $={}^{14}{C}_{11}={}^{14}{C}_{14-11}$ $={}^{14}{C}_3$

Hence, the answer is ${}^{14}{C}_3$.