#math trivia #102 solution

The simplest way is probably to look at the eight different possible sets of digits involved:

  • 0,1,2:  102, 120, 201, 210 (4 ways)
  • 1,2,3:  123, 132, 213, 231, 312, 321 (6 ways)
  • 2,3,4:  234, 243, 324, 342 (4 ways)
  • 3,4,5:  345, 354 (2 ways)
  • 4,5,6 through 7,8,9:  no ways

A total of 15 other numbers have the same property as 102.

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