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MathNet 2019-part-03 — 184 problems (EN–VI) Question 59

Math Olympiad Vault · MathNet 2019-part-03 — 184 problems (EN–VI)

Question 59

Is it possible to choose $24$ distinct points in the space such that no three of them lie on the same line, and choose $2019$ distinct planes in a way that each plane passes through at least $3$ of the chosen points and each triple of points belongs to one of the chosen planes?