A committee consists of 5 boys namely: Kofi, John, Ojo, O...
A committee consists of 5 boys namely: Kofi, John, Ojo, Ozo and James and 3 girls namely: Rose, Ugo and Ama. In how many ways can a sub-committee consisting of 3 boys and 2 girls be chosen, if Ozo must be on the sub-committee?
35
30
18
12
Correct answer is C
Since Ozo is a boy and must be in the sub-committee, we have 2 spaces for the boys and 2 for the girls.
= 4C2×3C2
= 4!(4−2)!2!×3!(3−2)!2!=6×3=18
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