NL-NWO 2018 Problem 1
We call a positive integer a shuffle number if the following hold: (1) All digits are nonzero. (2) The number is divisible by . (3) The number is divisible by . If you put the digits in any other order, you again have a number that is divisible by . How many -digit shuffle numbers are there?
Dataset text AI-MO AoPS. Quoted with source.
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