2020 CIME I Problems/Problem 3

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Problem 3

In a math competition, all teams must consist of between $12$ and $15$ members, inclusive. Mr. Beluhov has $n > 0$ students and he realizes that he cannot form teams so that each of his students is on exactly one team. Find the sum of all possible values of $n$.

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2020 CIME I (ProblemsAnswer KeyResources)
Preceded by
Problem 2
Followed by
Problem 4
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