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JAMB Mathematics 2024 Paper

Question : 37

Total: 50

Solution:

Concept:

This is a combination problem because the order of selection does not matter, so use

\binom{n}{r}

Explanation:

The committee must have 1 female and the remaining members will be males.

Choose 1 female from the 3 females available:

\binom{3}{1} = 3

Choose the remaining 4 members from the 7 males:

\binom{7}{4} = 35

Multiply these independent choices to get the total number of ways:

3 \times 35 = 105

So, the committee can be selected in 105 ways.

Answer:

A. 105 ways

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