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2

Part of 1998 Turkey Junior National Olympiad

Problems(1)

Turkey Junior Olympiad 1998, Part II - P2

Source:

1/18/2013
The first 99 positive integers are placed into the squares of a 3×33\times 3 chessboard. We are taking the smallest number in a column. Let aa be the largest of these three smallest number. Similarly, we are taking the largest number in a row. Let bb be the smallest of these three largest number. How many ways can we distribute the numbers into the chessboard such that a=b=4a=b=4?