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MathNet 2018-part-06 — 181 problems (EN–VI) Question 117

Math Olympiad Vault · MathNet 2018-part-06 — 181 problems (EN–VI)

Question 117

There are several gentlemen in the club. Every two are either friends, or enemies. It is known that each of the gentlemen has exactly $4$ enemies. In addition, for each of them, the enemy of his friend is his enemy. How many gentlemen can be present at the club?