2002 AIME I Problems/Problem 1
Problem
Many states use a sequence of three letters followed by a sequence of thee digits as their standard license-plate pattern. Given that teach three-letter three-digit arrangement is equally likely, the probability that such a license plate will contain at least one palindromes (a three-letter arrangement or a three-digit arrangement that reads the same left-to-right as it does right-to-left) is , where and are relatively prime positive integers. Find
Solution
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