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: Option B

Required number of ways
$$\begin{array}{rl}& =\left({}^7{C}_5\times {}^3{C}_2\right)\\ & =\left({}^7{C}_2\times {}^3{C}_1\right)\\ & =\frac{7\times 6}{2\times 1}\times 3\\ & =63\end{array}$$