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MathNet 2026 — Part 02 Question 189

Math Olympiad Vault · MathNet 2026 — Part 02

Question 189

Consider a group of 15 people. It is possible that each of them knows exactly:
(a) 4 people from the group?
(b) 3 people from the group? (Admit that if $A$ knows $B$ then $B$ knows $A$.)