Find the number of committees of three that can... - JAMB Mathematics 2003 Question
Find the number of committees of three that can be formed consisting of two men and one woman from four men and three women
A
3
B
6
C
18
D
24
correct option: c
\(^{4}C_2 \times ^{3}C_1 = \left(\frac{4!}{(4-2)!2!}\right)\times\left(\frac{3!}{(3-1)!1!}\right)\=\frac{4!}{2!2!}\times \frac{3!}{2!}\=\frac{4 \times 3 \times 2!}{2 \times 1 \times 2!} \times \frac{3 \times 2!}{2!}\=18\)
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