In how many ways can a committee of 4 men and 3 women be formed from 6 men and 5 women?

Question: In how many ways can a committee of 4 men and 3 women be formed from 6 men and 5 women? Solution:We have 6 men and 5 women.We need to choose 4 men from 6 and 3 women from 5. ∴ Number of ways = 6C4 × 5C3= {6!/4!(6 - 4)!} × {5!/3!(5 - 3)!}= {(6 × 5)/2} × {(5 × 4)/2}= 15 × 10 = 150 ways