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All-Russian Olympiad
1989 All Soviet Union Mathematical Olympiad
494
494
Part of
1989 All Soviet Union Mathematical Olympiad
Problems
(1)
ASU 494 All Soviet Union MO 1989 120 5-digit nos, permutations of 12345
Source:
8/13/2019
Show that the
120
120
120
five digit numbers which are permutations of
12345
12345
12345
can be divided into two sets with each set having the same sum of squares.
Sum of Squares
Subset
number theory
5-digit
algebra