Discussion
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
Answer: A
The men and women are drawn from separate pools.
\[ {}^{7}C_{5} \times {}^{3}C_{2} = 21 \times 3 = 63 \]
\( {}^{7}C_{5} = {}^{7}C_{2} = 21 \), which is the quicker way to evaluate it.
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