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Archive for May, 2008

10. PEN B6 Consider the set of all five-digit numbers whose decimal representation is a permutation of the digits . Prove that this set can be divided into two groups, in such a way that the sum of the squares of the numbers in each group is the same.

Here is the official solution file: PEN10S
You can also disscuss the problems here!

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10. PEN B6 Consider the set of all five-digit numbers whose decimal representation is a permutation of the digits . Prove that this set can be divided into two groups, in such a way that the sum of the squares of the numbers in each group is the same.

Read Full Post »