A committee of 5 persons is to be formed from 6 men and 4 women. In how many ways can this be done when at least 2 women are included?

When at least 2 women are included.
The committee may consist of 3 women, 2 men : It can be done in ⁴C₃ × ⁶C₂ ways
or, 4 women, 1 man : It can be done in ⁴C₄ × ⁶C₁ ways
or, 2 women, 3 men : It can be done in ⁴C₂ × ⁶C₃ ways.
Total number of ways of forming the committees
= ⁴C₂ × ⁶C₃ + ⁴C₃ × ⁶C₂ + ⁴C₄ × ⁶C₁
= 6 x 20 + 4 x 15 + 1 x 6
= 120 + 60 + 6
= 186