# Hi-five

Number Theory Level pending

Determine the number of 5-digit positive integers $$\overline{ABCDE}$$ ($$A$$, $$B,C,D$$ and $$E$$ not necessarily distinct) such that the sum of the 3-digit number $$\overline{ABC}$$ and the 2-digit number $$\overline{DE}$$ is divisible by 11.

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