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MathNet 2017-part-03 — 176 problems (EN–VI) Question 26

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

Question 26

A company consisting of $n$ friends play a table game according to the following rules:
(a) At each round play exactly 3 players.
(b) The game stops after $n$ rounds.
(c) Each couple of players have played together at least at one round.
Determine the maximal possible value of $n$.