Find the number of committees of three that can be formed consisting of two men and one woman from four men and three women
\(^{4}C_2 \times ^{3}C_1\)
= \(\left(\frac{4!}{(4-2)!2!}\right)\times\left(\frac{3!}{(3-1)!1!}\right)\)
= \(\frac{4!}{2!2!}\times \frac{3!}{2!}\)
= \(\frac{4 \times 3 \times 2!}{2 \times 1 \times 2!} \times \frac{3 \times 2!}{2!} = 18\)
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