Combinatorics and Graph Theory

    

Rencontres for Equipartite Distributions of Multisets of Colored Balls into Urns

Authors: Richard J. Mathar

A multiset of u*b balls contains u different colors and b balls of each color. Randomly distributing them across u urns with b balls per urn, what is the probability that no urn contains at least two balls of a common color? We reduce this problem to the enumeration of u X u binary matrices with constant row and column sum b and provide an explicit table of probabilities for small b and u.

Comments: 7 Pages.

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[v1] 2023-06-28 20:14:57

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