olymmath

HMMT 2009 C9

  • Combinatorics

The squares of a 3×33 \times 3 grid are filled with positive integers such that 1 is the label of the upperleftmost square, 2009 is the label of the lower-rightmost square, and the label of each square divides the one directly to the right of it and the one directly below it. How many such labelings are possible?

Dataset text NuminaMath olympiads. Quoted with source.

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