NDA2015MathematicsPermutation and CombinationActual
The number of ways in which a cricket team of 11 players be chosen out of a batch of 15 players so that the captain of the team is always included, is
Options
- A165
- B364
- C1001
- D1365
Correct answer
C. 1001
Step-by-step solution
If captain is always included then we can choose 10 more players out of the remaining 14 players. So ¹⁴ C ₁₀= 14! 10!4! =1001