olymmath

BALTIC-WAY 1992 Problem 15

    Noah has to fit 8 species of animals into 4 cages of the ark. He plans to put species in each cage. It turns out that, for each species, there are at most 3 other species with which it cannot share the accommodation. Prove that there is a way to assign the animals to their cages so that each species shares a cage with compatible species.

    Dataset text NuminaMath olympiads. Quoted with source.

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