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ASU 494 All Soviet Union MO 1989 120 5-digit nos, permutations of 12345

Source:

August 13, 2019
Sum of SquaresSubsetnumber theory5-digitalgebra

Problem Statement

Show that the 120120 five digit numbers which are permutations of 1234512345 can be divided into two sets with each set having the same sum of squares.