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2016 AMC 12A Question 11

AMC12 · 2016 AMC 12A

Question 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?
  1. $16$
  2. $25$
  3. $36$
  4. $49$
  5. $64$