AMC 10 Step by Step
2007 AMC 10BProblem 20P16-20~3 minPrint

A set of 2525 square blocks is arranged into a 5×55 \times 5 square. How many different combinations of 33 blocks can be selected from that set so that no two are in the same row or column?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.