Suppose that there is a large group of people, consisting of exactly 2N women and 2N men. The group is split in half at random. What is the probability that each half contains exactly N women and N men? And the second part asks for a given N, set up Stirling's Formula so you can calculate the approx value for a given N. I am having trouble thinking how to set up this problem. I know as N gets bigger, the possible combinations increase....I'm thinking 2^n. I also know that the order does not matter, but with each selection you are taking removing someone from the pool of 4N people.