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OPM 2002 Problem 4

  • Final day 2

The Blablabla set contains all the different seven-digit numbers that can be formed with the digits 2,3,4,5,6,72, 3, 4, 5, 6, 7 and 88 . Prove that there are not two Blablabla numbers such that one of them is divisible by the other.

Dataset text AI-MO AoPS. Quoted with source.

Official text: Portuguese Mathematical Olympiad 2002 official paper, page 1.

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