Permutations And Combinations Question 82

Question: There are 12 volleyball players in all 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

Options:

A) 36

B) 108

C) 99

D) 165

Show Answer

Answer:

Correct Answer: D

Solution:

  • Required number of ways = $ ^{11}C_8=165 $ . {Since, captain already be chosen, so now from 11 players 8 are to be chosen}.