olymmath

USAMO 1979 Problem 5

  • Day 2

X\mathrm{X} has n\mathrm{n} members. Given n+1\mathrm{n}+1 subsets of X\mathrm{X}, each with 3 members, show that we can always find two which have just one member in common.

Dataset text NuminaMath olympiads. Quoted with source.

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