AMC 10 Step by Step
2010 AMC 10BProblem 23P21-25~8 minPrint

The entries in a 3×33 \times 3 array include all the digits from 11 through 99 , arranged so that the entries in every row and column are in increasing order. How many such arrays are there?

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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.