{"status": "success", "data": {"description_md": "Each vertex of convex polygon $ABCDE$ is to be assigned a color. There are $6$ colors to choose from, and the ends of each diagonal must have different colors. How many different colorings are possible?\n\n$\\textbf{(A)}\\ 2520 \\qquad<br>\\textbf{(B)}\\ 2880 \\qquad<br>\\textbf{(C)}\\ 3120 \\qquad<br>\\textbf{(D)}\\ 3250 \\qquad<br>\\textbf{(E)}\\ 3750$\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>Each vertex of convex polygon  <span class=\"katex--inline\">ABCDE</span>  is to be assigned a color. There are  <span class=\"katex--inline\">6</span>  colors to choose from, and the ends of each diagonal must have different colors. How many different colorings are possible?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 2520 \\qquad\\textbf{(B)}\\ 2880 \\qquad\\textbf{(C)}\\ 3120 \\qquad\\textbf{(D)}\\ 3250 \\qquad\\textbf{(E)}\\ 3750</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": "2011 AMC 12A Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/11_amc12A_p17", "prev": "/problem/11_amc12A_p15"}}