I saw an interesting exam problem in my graduate level statistics exam. What was particularly interesting was that we were given a problem that could not be solved with a calculator, or by obvious simplification methods.
For this, I am self publishing this document that describes an algorithmic approach to solving hypergeometric distributions that would be otherwise insoluble using conventional methods. My software authored for this is accurate and is differentiated from Wolfram Mathematica or Alpha in that the method and code is open to academic scrutiny.
Here is that link: hypergeom.pdf