{"status": "success", "data": {"description_md": "A positive integer divisor of $12!$ is chosen at random. The probability that the divisor chosen is a perfect square can be expressed as $\\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. What is $m+n$?\n\n$\\textbf{(A)}\\ 3\\qquad\\textbf{(B)}\\ 5\\qquad\\textbf{(C)}\\ 12\\qquad\\textbf{(D)}\\ 18\\qquad\\textbf{(E)}\\ 23$", "description_html": "<p>A positive integer divisor of  <span class=\"katex--inline\">12!</span>  is chosen at random. The probability that the divisor chosen is a perfect square can be expressed as  <span class=\"katex--inline\">\\frac{m}{n}</span> , where  <span class=\"katex--inline\">m</span>  and  <span class=\"katex--inline\">n</span>  are relatively prime positive integers. What is  <span class=\"katex--inline\">m+n</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 3\\qquad\\textbf{(B)}\\ 5\\qquad\\textbf{(C)}\\ 12\\qquad\\textbf{(D)}\\ 18\\qquad\\textbf{(E)}\\ 23</span> </p>\n<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": "2020 AMC 10A Problem 15", "can_next": true, "can_prev": true, "nxt": "/problem/20_amc10A_p16", "prev": "/problem/20_amc10A_p14"}}