olymmath

JBMO 2012 Problem 3

  • Paper

On a board there are nn nails each two connected by a string. Each string is colored in one of nn given distinct colors. For each three distinct colors, there exist three nails connected with strings in these three colors. Can nn be a) 6 ? b) 7 ?

Dataset text NuminaMath olympiads. Quoted with source.

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