{"status": "success", "data": {"description_md": "The entries in a $3 \\times 3$ array include all the digits from $1$ through $9$, arranged so that the entries in every row and column are in increasing order. How many such arrays are there?\n\n$\\textbf{(A)}\\ 18 \\qquad \\textbf{(B)}\\ 24 \\qquad \\textbf{(C)}\\ 36 \\qquad \\textbf{(D)}\\ 42 \\qquad \\textbf{(E)}\\ 60$\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 entries in a  <span class=\"katex--inline\">3 \\times 3</span>  array include all the digits from  <span class=\"katex--inline\">1</span>  through  <span class=\"katex--inline\">9</span> , arranged so that the entries in every row and column are in increasing order. How many such arrays are there?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 18 \\qquad \\textbf{(B)}\\ 24 \\qquad \\textbf{(C)}\\ 36 \\qquad \\textbf{(D)}\\ 42 \\qquad \\textbf{(E)}\\ 60</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": "2010 AMC 12B Problem 17", "can_next": true, "can_prev": true, "nxt": "/problem/10_amc12B_p18", "prev": "/problem/10_amc12B_p16"}}