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MathNet 2005 — Part 02 Question 60

Math Olympiad Vault · MathNet 2005 — Part 02

Question 60

In a group of 9 persons it is not possible to choose 4 persons such that every one knows the three others. Prove that this group of 9 persons can be partitioned into four parts in such a way that nobody knows anyone from his part.

Emil Kolev