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In how many ways can a committee of 3 women and 2 men be ...

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

A.

500

B.

350

C.

720

D.

210

Correct answer is D

For choosing, its different 'combinations'

Options - 7 men, 5 women
To pick - 2 men, 3 women

∴ The number of ways to choose a committee of 3 women and 2 men from a group of 7 men and 5 women is:
=5C3×7C2

=5×4×33×2×7×62×1

=10×21

=210