{"status": "success", "data": {"description_md": "The number $21!=51,090,942,171,709,440,000$ has over $60,000$ positive integer divisors. One of them is chosen at random. What is the probability that it is odd?\n\n$\\textbf{(A)}\\ \\frac{1}{21} \\qquad \\textbf{(B)}\\ \\frac{1}{19} \\qquad \\textbf{(C)}\\ \\frac{1}{18} \\qquad \\textbf{(D)}\\ \\frac{1}{2} \\qquad \\textbf{(E)}\\ \\frac{11}{21}$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>The number  <span class=\"katex--inline\">21!=51,090,942,171,709,440,000</span>  has over  <span class=\"katex--inline\">60,000</span>  positive integer divisors. One of them is chosen at random. What is the probability that it is odd?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ \\frac{1}{21} \\qquad \\textbf{(B)}\\ \\frac{1}{19} \\qquad \\textbf{(C)}\\ \\frac{1}{18} \\qquad \\textbf{(D)}\\ \\frac{1}{2} \\qquad \\textbf{(E)}\\ \\frac{11}{21}</span> </p>&#10;<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": "2017 AMC 12B Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/17_amc12B_p17", "prev": "/problem/17_amc12B_p15"}}