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S.O.S. partition needed!! (Posted on 2011-04-23) Difficulty: 3 of 5
Make a list of all 120 five-digit numbers created by permuting the digits 1,2,3,4,5.
Consider it as a set of numbers in base-10 system, ranging from 12345 to 54321.

Show that it is possible to partition this set into 2 subsets possessing equal sums of squares of their respective members.

bonus question: Is the result dependent of the base we choose?

See The Solution Submitted by Ady TZIDON    
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  Subject Author Date
abcdeJer2011-04-25 10:59:05
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