AMC 12 2016a Problem 11

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 \textbf{(B)}\ 25 \textbf{(C)}\ 36 \textbf{(D)}\ 49 \textbf{(E)}\ 64