The number of ways to select a committee with 3 men and 3 women is 200.
We have a group. The number of men in the group is 6. The number of women in the group is 5. We need to find out the number of ways to select a committee with 3 men and 3 women.
We will use the concepts of permutations and combinations. The number of ways to select 3 men out of 6 men is 6C3 = 20. The number of ways to select 3 women out of 5 women is 5C3 = 10. The total number of ways to form the committee that consists of 3 men and 3 women is the product of the above-mentioned calculation.
N = 20*10
N = 200
Hence, the number of ways to select a committee with 3 men and 3 women is 200.
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