olymmath

HMMT 2005 F9

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In how many ways can the cells of a 4×44 \times 4 table be filled in with the digits 1,2,…,91,2, \ldots, 9 so that each of the 4 -digit numbers formed by the columns is divisible by each of the 4-digit numbers formed by the rows?

Dataset text NuminaMath olympiads. Quoted with source.

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9

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