Question

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

Answer 1

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.