How many ways are there to divide 4 men and 4 women into two groups of size 4 each?

You have 8 people, you have 2 groups of 4.

8!/4!4!

= (8*7*6*5*4*3*2) / (4*3*2*4*3*2)

= (8*7*6*5) / (4*3*2)

=7*6*5/3

=7*2*5

=70

It's been a few years since I've done this. If you haven't learned how to do this type of an equation yet, then I'm probably wrong.