{"status": "success", "data": {"description_md": "A positive divisor of $15!$ is chosen. If the probability that this factor is a multiple of $6$ is $\\dfrac{m}{n}$, where $m,n$ are relatively prime positive integers, find the value of $m+n$.", "description_html": "<p>A positive divisor of <span class=\"katex--inline\">15!</span> is chosen. If the probability that this factor is a multiple of <span class=\"katex--inline\">6</span> is <span class=\"katex--inline\">\\dfrac{m}{n}</span>, where <span class=\"katex--inline\">m,n</span> are relatively prime positive integers, find the value of <span class=\"katex--inline\">m+n</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Christmas Contest - Team Round - Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/christmas1_team-p10", "prev": "/problem/christmas1_team-p08"}}