May 10th, 2005

darkness

Stupid brain

I grabbed a handfull of m&ms yesterday and ended up with 15 of them with a color arangement that formed a nice pyramid (1,2,3,4,5) and i was trying to figure out what exactly the odds of that were, with the unwarranted assumption that the five colors all have equal representation in the mix.

I remember how to figure out card probabilities and other such selections from a limited set with n choose k, and i certainly remember how to figure out an ordered selection from an effectively unlimited set ((1/5)^15 in this case obviously) but how do you eliminate the repeats to get an unordered selection from an unlimited set? 6 choose 15 obviously doesn't work.

*sigh* i know my memory sucks, but i wish i could remember at least the cool things i've learned in the past
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