Question 21
Permutations and CombinationsA 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 subcommittee consisting of 3 boys and 2 girls be chosen, if Ozo must be on the sub-committee?
- A.35
- B.30
- C.18
- D.12
Show the answer and explanation
Answer: C (18)
Explanation
Ozo takes one place, so choose 2 of the other 4 boys (⁴C₂ = 6) and 2 of the 3 girls (³C₂ = 3): 6 × 3 = 18.