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

The number of ways in which a committee consisting of 3 men and 2 women, can be chose from 7 men and 5 women, isa 45b 350c 4200d 230

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

350

Explanation:

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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