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MathNet 2021 — Part 06 Question 87

Math Olympiad Vault · MathNet 2021 — Part 06

Question 87

2021 points are given, no three of them are collinear. Divide these points into 20 groups with different numbers of points in each group. Count the number of triangles with vertices in different groups. In order to get the maximum number of such triangles, how should you divide those point?