olymmath

OPM 2012 Problem 1

  • Final day 1

A five-digit positive integer abcde10abcde_{10} ( a≠0a\neq 0 ) is said to be a range if its digits satisfy the inequalities a<b>c<d>ea<b>c<d>e . For example, 3745237452 is a range. How many ranges are there?

Dataset text AI-MO AoPS. Quoted with source.

Official text: Portuguese Mathematical Olympiad 2012 official paper, page 1.

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