Question 46

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Jambmaths question: 

Find the number of committees of three that can be formed consisting of two men and one woman from men and three women.

Option A: 

3

Option B: 

6

Option C: 

18

Option D: 

24

Jamb Maths Solution: 

$\begin{align}  & ^{4}{{C}_{2}}{{\times }^{3}}{{C}_{1}}=\frac{4!}{(4-2)!2!}\times \frac{3!}{(3-1)!1!} \\ & =\frac{4!}{2!2!}\times \frac{3!}{2!}=\frac{4\times 3\times 2!}{2!\times 2}\times \frac{3\times 2!}{2!}=18 \\\end{align}$

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