olymmath

KöMaL 2012 K320

    The four-digit number abcd‾\overline{abcd} consists of four different positive digits, and abcd‾+bcda‾+cdab‾+dabc‾=31108\overline{abcd} +\overline{bcda} +\overline{cdab} +\overline{dabc} =31 108. How many such four-digit numbers abcd‾\overline{abcd} are there?

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