My previous post showed how to define binomial coefficients for general arguments. I just posted an article that explains how to compute binomial coefficients. Here’s a chart from the article for computing the binomial coefficient (z, w) for arbitrary complex z and w.
See also How to calculate binomial probabilities.
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John Venier 09.09.08 at 10:30
An interesting exercise is to calculate the exact number of trailing zeros in (n!) for large (n), such as (99!) or (1000!).