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


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(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.

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