A committee of 12 members is to be formed from 9 women and 8 men. The number of ways of forming the committee with women in majority is

Step-by-step solution

The number of ways of forming the committee with women in majority = C 9 7 × C 8 5 + C 9 8 × C 8 4 + C 9 9 × C 8 3 = 9 × 8 2 × 8 × 7 × 6 3 × 2 + 9 × 8 × 7 × 6 × 5 4 × 3 × 2 + 1 × 8 × 7 × 6 3 × 2 = 2016 + 630 + 56 = 2702