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MathNet 2004 — Part 01 Question 101

Math Olympiad Vault · MathNet 2004 — Part 01

Question 101

Consider all the ways of writing exactly ten times each one of the numbers $0, 1, 2, 3, \ldots, 9$ in the squares of a $10 \times 10$ board.
Find the greatest integer $n$ with the property that there is always a row or a column with $n$ different numbers.