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MathNet 2015-part-02 — 191 problems (EN–VI) Question 39

Math Olympiad Vault · MathNet 2015-part-02 — 191 problems (EN–VI)

Question 39

Five teams are playing at a football tournament, each playing with the other exactly once. Each victory is worth 3 points, defeat 0 points and a draw 1 point. Is it possible that at the end of the tournament, in the final ranking, each team except the last has exactly two points more than the next one?