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MathNet 2009-part-02 — 175 problems (EN–VI) Question 10

Math Olympiad Vault · MathNet 2009-part-02 — 175 problems (EN–VI)

Question 10

There are $n$ points on the plane, no three of which are collinear. Each pair of points is joined by a red, yellow or green line. For any three points, the sides of the triangle they form consist of exactly two colours. Show that $n \lt 13$.