Question

in how many ways a committe of 5 members can be formed from 6 men and 5 women consisting of 3 men and 2 women​

Answer 1

The ways 3 men being selected out of 6 men are the combination: (6!)/(3!)(3!) = 20

Similarly, the ways 2 ladies being chosen from a group of 5 are (5!)/(2!)(3!) = 10

Therefore there are 20 x 10 = 200 ways to choose 5 members consisting of 3 men and 2 ladies out of 6 men and 5 ladies.