Test Index

JAMB Mathematics 2014 Paper

Question : 38

Total: 47

In how many ways can a team of 3 girls be selected from 7 girls?

Solution:

Concept:

Selecting a team without arranging its members is a combination problem.

Explanation:

We need to choose 3 girls from 7 girls.

This is expressed as

{}^{7}C_{3}

The combination formula is

{}^{n}C_{r} = \frac{n!}{r!(n-r)!}

Substitute

n = 7

and

r = 3

{}^{7}C_{3} = \frac{7!}{3!(7-3)!}

= \frac{7!}{3! \times 4!}

This corresponds to option C.

Answer:

\frac{7!}{3!4!}

ways.

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