{"status": "success", "data": {"description_md": "Let $n$ be a positive integer greater than 4 such that the decimal representation of $n!$ ends in $k$ zeros and the decimal representation of $(2n)!$ ends in $3k$ zeros. Let $s$ denote the sum of the four least possible values of $n$. What is the sum of the digits of $s$?\n\n$\\textbf{(A) }7\\qquad\\textbf{(B) }8\\qquad\\textbf{(C) }9\\qquad\\textbf{(D) }10\\qquad\\textbf{(E) }11$", "description_html": "<p>Let  <span class=\"katex--inline\">n</span>  be a positive integer greater than 4 such that the decimal representation of  <span class=\"katex--inline\">n!</span>  ends in  <span class=\"katex--inline\">k</span>  zeros and the decimal representation of  <span class=\"katex--inline\">(2n)!</span>  ends in  <span class=\"katex--inline\">3k</span>  zeros. Let  <span class=\"katex--inline\">s</span>  denote the sum of the four least possible values of  <span class=\"katex--inline\">n</span> . What is the sum of the digits of  <span class=\"katex--inline\">s</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) }7\\qquad\\textbf{(B) }8\\qquad\\textbf{(C) }9\\qquad\\textbf{(D) }10\\qquad\\textbf{(E) }11</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": 4, "problem_name": "2015 AMC 10B Problem 23", "can_next": true, "can_prev": true, "nxt": "/problem/15_amc10B_p24", "prev": "/problem/15_amc10B_p22"}}