{"status": "success", "data": {"description_md": "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?\n\n$\\textbf{(A)}\\ 16\\qquad\\textbf{(B)}\\ 25\\qquad\\textbf{(C)}\\ 36\\qquad\\textbf{(D)}\\ 49\\qquad\\textbf{(E)}\\ 64$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Each of the  <span class=\"katex--inline\">100</span>  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  <span class=\"katex--inline\">42</span>  students who cannot sing,  <span class=\"katex--inline\">65</span>  students who cannot dance, and  <span class=\"katex--inline\">29</span>  students who cannot act. How many students have two of these talents?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 16\\qquad\\textbf{(B)}\\ 25\\qquad\\textbf{(C)}\\ 36\\qquad\\textbf{(D)}\\ 49\\qquad\\textbf{(E)}\\ 64</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2016 AMC 12A Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/16_amc12A_p12", "prev": "/problem/16_amc12A_p10"}}