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MathNet 2022-part-01 — 197 problems (EN–VI) Question 52

Math Olympiad Vault · MathNet 2022-part-01 — 197 problems (EN–VI)

Question 52

Palina marked $2021$ arbitrary points on the circle and drew $2021$ segments between them. By an intersection point we denote any point of intersection of two drawn segments if this point is the endpoint of none of them.
Find the maximal possible number of intersection points. (Mikhail Karpuk)