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JAMB Mathematics 2023 Paper

Question : 18

Total: 80

Solution:

Concept:

Majority of women in a 5-person committee means more women than men are selected.

Explanation:

Possible favourable cases: either 3 women and 2 men, or 4 women and 1 man.

For 3 women and 2 men:

\binom{4}{3} \times \binom{6}{2} = 4 \times 15 = 60

For 4 women and 1 man:

\binom{4}{4} \times \binom{6}{1} = 1 \times 6 = 6

Total number of committees

= 60 + 6 = 66

Answer:

66

committees are possible.

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