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?

Answer: B. 2256 — 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

  1. A.

    3550

  2. B.

    2256

  3. C.

    2890

  4. D.

    3000

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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

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