Question on: JAMB Mathematics - 2019

In a committee of 5, which must be selected from 4 males and 3 females. In how many ways can the members be chosen if it were to include 2 females?

A

144 ways

B

15 ways

C

185 ways

D

12 ways

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Correct Option: D

For the committee to include 2 females, we must have 3 males, so that there should be a total of 5 members.

thus, \(^4C_3 \times ^3C_2\)

= \(\frac{4!}{(4 - 3)! 3!} \times \frac{3!}{(3 - 2)! 2!}\)

= 4 × 3

= 12 ways

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