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MathNet 2016-part-05 — 184 problems (EN–VI) Question 170

Math Olympiad Vault · MathNet 2016-part-05 — 184 problems (EN–VI)

Question 170

For which integers $n \ge 2$ is it possible to draw $n$ distinct straight lines in the plane in such a way that there are at least $n-2$ points where exactly three of the lines intersect?