NECO 2023 · Paper 2 · Q5
From 10 male and 8 female staff in a school, a committee of 5 men and 3 women is to be set up. In how many ways can this be done if:
- (a)
any man and any woman may be included?
- (b)
the principal (a male) must be on the committee?
Worked solution (try it first)
(a)
- Choose 5 men from 10 and 3 women from 8, and multiply: .
- ways.
(b)
- Put the principal on.
- Choose the other 4 men from the remaining 9: .
- The women as before: .
- So ways.