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?(adsbygoogle = window.adsbygoogle || []).push({});

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.

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# Probability Q using Stirling's Formula

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