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MathNet 2012 Question 88

Math Olympiad Vault · MathNet 2012

Question 88

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