Answer: 784
Step-by-step explanation:
There are the binomial coefficient "8 choose 2", i.e. [tex]\frac{8!}{2!6!}[/tex] = 28 ways to choose 2 people from a set of 8 people. So, there are 28 ways to choose 2 men and 28 ways to choose 2 women. This means that there is [tex]28^{2}[/tex] = 784 ways to choose both 2 men and 2 women.
