Beautiful result which should open new horizons on marriage possibilities - Proofs from The Book - Aigner & Ziegler

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Suppose the sets A1, ... An all have size k and suppose further that no element is contained in more than k sets. Then there exists k systems of distinct representatives such that for any i the k representatives of Ai are distinct and thus together form the set Ai.

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abuhurairah 4 months ago
...wat?

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