Question

There are $12$ volleyball players in a college, out of which a team of $9$ players is to be formed. If the captain always remains the same, then in how many ways can the team be formed

• A. $36$
• B. $108$
• C. $99$
• D. $165$

Answer 1

The correct option is D $165$

We have to select other 8 players from 11

players ${\Rightarrow }^{11}{C}_{8}ways=\frac{11!}{8!3!}=\frac{11\times 10\times 9}{6}=165\Rightarrow \left(D\right)$