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Set S contains exactly 36 elements in the form of 2^m · 5^n for integers 0 ≤ m,n ≤ 5. Two distinct elements of S are randomly chosen. Given that the probability that their product is divisible by 10^7 is m/n , where m and n are relatively prime positive integers, find m+n.

 Apr 30, 2021
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m + n = 48.

 May 22, 2021

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