{"status": "success", "data": {"description_md": "When $7$ fair standard $6$-sided dice are thrown, the probability that the sum of the numbers on the top faces is $10$ can be written as $$\\frac{n}{6^{7}},$$ where $n$ is a positive integer. What is $n$?\n\n$\\textbf{(A) }42\\qquad\n\\textbf{(B) }49\\qquad\n\\textbf{(C) }56\\qquad\n\\textbf{(D) }63\\qquad\n\\textbf{(E) }84\\qquad$", "description_html": "<p>When  <span class=\"katex--inline\">7</span>  fair standard  <span class=\"katex--inline\">6</span> -sided dice are thrown, the probability that the sum of the numbers on the top faces is  <span class=\"katex--inline\">10</span>  can be written as  <span class=\"katex--display\">\\frac{n}{6^{7}},</span>  where  <span class=\"katex--inline\">n</span>  is a positive integer. What is  <span class=\"katex--inline\">n</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) }42\\qquad\n\\textbf{(B) }49\\qquad\n\\textbf{(C) }56\\qquad\n\\textbf{(D) }63\\qquad\n\\textbf{(E) }84\\qquad</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": "2018 AMC 10A Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/18_amc10A_p12", "prev": "/problem/18_amc10A_p10"}}