Permutations And Combinations Question 122

Question: In how many ways a team of 11 players can be formed out of 25 players, if 6 out of them are always to be included and 5 are always to be excluded

Options:

A) 2020

B) 2002

C) 2008

D) 8002

Show Answer

Answer:

Correct Answer: B

Solution:

  • Since 5 are always to be excluded and 6 always to be included, therefore 5 players to be chosen from 14. Hence required number of ways are $ ^{14}C_5=2002 $ .