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MathNet 2019-part-07 — 184 problems (EN–VI) Question 72

Math Olympiad Vault · MathNet 2019-part-07 — 184 problems (EN–VI)

Question 72

In the company there are no three people who know each other, but for any group of five there are three who have the common acquaintance (not necessarily from that group). Prove that this company can be split into two groups of pairwise unfamiliar people.
(Viktor Bogdanskyi)