Question: For a positive integer N which is at least 10, two of its decimal digits are chosen randomly. Let py be the probability that these

For a positive integer N which is at least 10, two of its decimal digits are chosen randomly. Let py be the probability that these digits are identical and qN be the probability that they are distinct. We call N a balanced number if pN = qu. Find the number of bal- anced numbers between 10 and 10000, inclusive

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