In how many ways a committee consisting of 3 men and 2 women, can be chosen from 7 men and 5 women?

Question

In how many ways a committee consisting of 3 men and 2 women, can be chosen from 7 men and 5 women?

(A) 45

(B) 350

(C) 4200

(D) 230

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

(B) is the correct choice.

Out of 7 men, 3 men can be chosen in ⁷C₃ ways and out of 5 women, 2 women can be chosen in ⁵C₂ ways. Hence, the committee can be chosen in ⁷C₃ × ⁵C₂ = 350 ways.

4 views Answered 2023-02-05 15:29