A committee of 12 members is to be formed from 9 women and 8 men. The number of ways of forming the committee with atleast 5 women is

Step-by-step solution

The number of ways of forming the committee with atleast 8 women is C 9 5 × C 8 7 + C 9 6 × C 8 6 + C 9 7 × C 8 5 + C 9 8 × C 8 4 + C 9 9 × C 8 3 = 9 × 8 × 7 × 6 4 × 3 × 2 × 8 + 9 × 8 × 7 3 × 2 × 8 × 7 2 + 9 × 8 2 × 8 × 7 × 6 3 × 2 + 9 × 8 × 7 × 6 × 5 4 × 3 × 2 + 1 × 8 × 7 × 6 3 × 2 = 1008 + 2352 + 2016 + 630 + 56 = 6062