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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Probability Q using Stirling's Formula

**Physics Forums | Science Articles, Homework Help, Discussion**