{"status": "success", "data": {"description_md": "How many perfect squares are divisors of the product $1! \\cdot 2! \\cdot 3! \\cdot \\cdots \\cdot 9!$?\n\n$\\textbf{(A)}\\ 504\\qquad\\textbf{(B)}\\ 672\\qquad\\textbf{(C)}\\ 864\\qquad\\textbf{(D)}\\ 936\\qquad\\textbf{(E)}\\ 1008$\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>How many perfect squares are divisors of the product <span class=\"katex--inline\">1! \\cdot 2! \\cdot 3! \\cdot \\cdots \\cdot 9!</span>?</p>&#10;<p><span class=\"katex--inline\">\\textbf{(A)}\\ 504\\qquad\\textbf{(B)}\\ 672\\qquad\\textbf{(C)}\\ 864\\qquad\\textbf{(D)}\\ 936\\qquad\\textbf{(E)}\\ 1008</span></p>&#10;<hr/>&#10;<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>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 5, "problem_name": "2003 AMC 12A Problem 23", "can_next": true, "can_prev": true, "nxt": "/problem/03_amc12A_p24", "prev": "/problem/03_amc12A_p22"}}