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MathNet 2017-part-03 — 176 problems (EN–VI) Question 64

Math Olympiad Vault · MathNet 2017-part-03 — 176 problems (EN–VI)

Question 64

In a committee there are $n$ members. Each pair of members are either friends or enemies. Each committee member has exactly three enemies. It is also known that for each committee member, an enemy of his friend is automatically his own enemy. Find all possible value(s) of $n$.