Maths Olympiad Prep

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, 2013

Combinatorics Difficulty 6.0 National Olympiad Prove it United Kingdom

Isaac places some counters onto the squares of an 8 by 8 chessboard so that there is at most one counter in each of the 64 squares. Determine, with justification, the maximum number that he can place without having five or more counters in the same row, or in the same column, or on either of the two long diagonals.

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