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MathNet 2023-part-03 — 191 problems (EN–VI) Question 114

Math Olympiad Vault · MathNet 2023-part-03 — 191 problems (EN–VI)

Question 114

Find all integers $n \geq 3$ for which it is possible to draw $n$ chords of one circle such that their $2 n$ endpoints are pairwise distinct and each chord intersects precisely $k$ other chords for:
(a) $k=n-2$,
(b) $k=n-3$.