2016 AMC 12A Problems/Problem 11

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Problem

Each of the $100$ students in a certain summer camp can either sing, dance, or act. Some students have more than one talent, but no student has all three talents. There are $42$ students who cannot sing, $65$ students who cannot dance, and $29$ students who cannot act. How many students have two of these talents?

$\textbf{(A)}\ 16\qquad\textbf{(B)}\ 25\qquad\textbf{(C)}\ 36\qquad\textbf{(D)}\ 49\qquad\textbf{(E)}\ 64$

Solution

See Also

2016 AMC 12A (ProblemsAnswer KeyResources)
Preceded by
Problem 24
Followed by
Problem 26
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All AMC 12 Problems and Solutions

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