In how many ways, a cricket team of 11 players can be made

Home » Aptitude » Permutation and Combination » Question

In how many ways, a cricket team of 11 players can be made from 15 players, if a particulars player is always chosen ?

1. 1835
2. 1001
3. 1635
4. 1365
5. None of the above

Correct Option: B

Since, particular player is always chosen. It means that 11 - 1 = 10 players are selected out of the remaining 15 - 1 = 14 players.

∴ Required number of ways = ¹⁴C₁₀
= 14 ! / (10! x 4!)
= (14 x 13 x 12 x 11) / (4 x 3 x 2 x 1)
= 7 x 13 x 11
= 91 x 11
= 1001