Answer : Since the committee of 5 is to be formed from 6 gents and 4 ladies.
(i) Forming a committee with at least 2 ladies Here the possibilities are
- 2 ladies and 3 gents
- 3 ladies and 2 gents
- 4 ladies and 1 gent
The number of ways they can be selected
= 186 ways= 4C2 X6C3 + 4C3X6C2 + 4C4X6C1
(ii) The number of ways in this case is
- 0 ladies and 5 gents
- 1 lady and 4 gents
- 2 ladies and 3
The total ways are
= 4C0 X6C5 + 4C1X6C4 + 4C2 X 6C3
= 186 ways.