Problem #3

Let An denote the set of all 2n digit numbers whose decimal representation conisists of exactly n 1's and n 0's. (Note: The leading digit must be a 1.) It is not too difficult to show that there must be at least one number in An that is evenly divisible by n. This month's problem is to determine the fraction of elements of An that are divisible by n for n = 1,2,...,12.

The solution will be posted shortly.

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