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MathNet 2007-part-01 — 187 problems (EN–VI) Question 38

Math Olympiad Vault · MathNet 2007-part-01 — 187 problems (EN–VI)

Question 38

Each side of a triangle is divided into 50 equal parts, and each division point is joined to the opposite vertex by a segment. Compute the number of intersection points determined by these segments.

Remark: The vertices of the original triangle are not considered intersection points or division points.