{"status": "success", "data": {"description_md": "Al, Bill, and Cal will each randomly be assigned a whole number from $1$ to $10$, inclusive, with no two of them getting the same number. What is the probability that Al's number will be a whole number multiple of Bill's and Bill's number will be a whole number multiple of Cal's?\n\n$\\textbf{(A) } \\dfrac{9}{1000} \\qquad\\textbf{(B) } \\dfrac{1}{90} \\qquad\\textbf{(C) } \\dfrac{1}{80} \\qquad\\textbf{(D) } \\dfrac{1}{72} \\qquad\\textbf{(E) } \\dfrac{2}{121}$", "description_html": "<p>Al, Bill, and Cal will each randomly be assigned a whole number from  <span class=\"katex--inline\">1</span>  to  <span class=\"katex--inline\">10</span> , inclusive, with no two of them getting the same number. What is the probability that Al&#8217;s number will be a whole number multiple of Bill&#8217;s and Bill&#8217;s number will be a whole number multiple of Cal&#8217;s?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } \\dfrac{9}{1000} \\qquad\\textbf{(B) } \\dfrac{1}{90} \\qquad\\textbf{(C) } \\dfrac{1}{80} \\qquad\\textbf{(D) } \\dfrac{1}{72} \\qquad\\textbf{(E) } \\dfrac{2}{121}</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": "2015 AMC 10B Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/15_amc10B_p17", "prev": "/problem/15_amc10B_p15"}}