In how many ways a team of 11 must be selected from 5 men and 11 women such…
2024
In how many ways a team of 11 must be selected from 5 men and 11 women such that the team comprises not more than three men?
- A.
3550
- B.
2256
- C.
2890
- D.
3000
Attempted by 338 students.
Show answer & explanation
Correct answer: B
Maximum 3 men can be played which means there can be 0, 1, 2, 3 men in the team.
(5C0×11C11)+(5C1×11C10)+(5C2×11C9)+(5C3×11C8)=2256