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OpenStudy (anonymous):
The numbers 1,2,…,17 are divided into 5 disjoint sets. One set has 5 elements, one set has 4 elements, two sets have 3 elements and the last set contains the 2 remaining elements. Two players each choose a number from 1 to 17 at random. The probability that they choose numbers from the same set can be expressed as ab, where a and b are coprime positive integers. What is the value of a+b?
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