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MathNet 2003 — Part 02 Question 116

Math Olympiad Vault · MathNet 2003 — Part 02

Question 116

Stones are placed on the squares of a chessboard having $10$ rows and $14$ columns. There is an odd number of stones on each row and each column. The squares are coloured black and white in the usual fashion. Show that the number of stones on black squares is even. Note that there can be more than one stone on a square.