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MathNet 2026 — Part 09 Question 177

Math Olympiad Vault · MathNet 2026 — Part 09

Question 177

The Cannibal Club of California (CCC) had 30 members yesterday morning - but that was before their festive annual dinner! After the dinner, it turned out that among any six members of the club, there was a pair one of whom ate the other. Prove that at least six members of the CCC are now nested inside one another.