Q. These 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
Explanation
(d)
Required number of ways $=^{12 - 1}C_{9 - 1}$
$=^{11}C_{8} = \frac{11 \times 10 \times 9}{3 \times 2 \times 1} = 165$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.