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2021 WSMO Team Round Problems/Problem 12

Revision as of 21:16, 15 December 2023 by Pinkpig (talk | contribs) (Created page with "==Problem== Choose three integers <math>x,y,z</math> randomly and independently from the nonnegative integers. The probability that the sum of the factors of <math>2^x3^y5^z</...")
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Problem

Choose three integers $x,y,z$ randomly and independently from the nonnegative integers. The probability that the sum of the factors of $2^x3^y5^z$ is divisible by $6$ is $\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. Find $m+n$.

Proposed by pinkpig

Solution

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