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9x9 board

Source: IZO 1 Junior Problem 1

December 16, 2008
combinatorics proposedcombinatorics

Problem Statement

The 40 unit squares of the 9 9-table (see below) are labeled. The horizontal or vertical row of 9 unit squares is good if it has more labeled unit squares than unlabeled ones. How many good (horizontal and vertical) rows totally could have the table?