Question

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

• A. ${}^{14}{C}_4$
• B. ${}^{14}{C}_1$
• C. ${}^{14}{C}_{13}$
• D. None of these

Answer 1

Answer: (A)

${}^{14}{C}_4$

If a particular player is always chosen.

This means that $10$ players are selected out of the remaining $14$ players.

$\therefore$ Required number of way is ${}^{14}{C}_{10}$................$\left(Intheformof{}^n{C}_r\right)$

$={}^{14}{C}_{14-10}$

$={}^{14}{C}_4$

Hence option-$A$.