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MathNet 2016-part-01 — 184 problems (EN–VI) Question 165

Math Olympiad Vault · MathNet 2016-part-01 — 184 problems (EN–VI)

Question 165

Mathematics clubs are very popular in a certain city. Any two of them have at least one common member. Prove that one can distribute rulers and compasses to the citizens in such a way that only one citizen gets both (compass and ruler) and any club has at its disposal both, compass and ruler, from its members.