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MathNet 2026 — Part 01 Question 106

Math Olympiad Vault · MathNet 2026 — Part 01

Question 106

An urn contains $k$ balls marked with $k$, for all $k=1,2, \ldots, 2016$. What is the minimum number of balls that we should remove, without replacement and without looking at the balls, to be sure that we will have 12 balls with the same number?