Re: Two birthday probability problems

The birthday matching generalized formula Posted: Apr 20, 2006 7:10 AM Plain Text Reply

The generalized case has the solution__p = A* B / C _______________(1)seehttp://ourworld.compuserve.com/homepages/rajm/tscoin.htmwhere __A = n! / (n0! * n1! * n2! *...* nk!)the number the ways of arranging the urns (the days) when are nj balls in the urn j (j = 0 to k) i.e. the number of days where j persons have the same birthday.__B = r! / (r0! * r1! * r2! *...* rk!)__r = r0 + r1 + r2 +...+ rk Being the number of ways to dispose the balls (the persons) within each urn (each birthday)__C = 365 ^ n the total number of way to distribute r balls among the urns. (the persons among all days of the yearlicas (Luis A. Afonso)
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