{"status": "success", "data": {"description_md": "Each vertex of convex pentagon $ABCDE$ 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$\\textbf{(A)}\\ 2520\\qquad\\textbf{(B)}\\ 2880\\qquad\\textbf{(C)}\\ 3120\\qquad\\textbf{(D)}\\ 3250\\qquad\\textbf{(E)}\\ 3750$", "description_html": "<p>Each vertex of convex pentagon  <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>\n<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>\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": "2011 AMC 10A Problem 22", "can_next": true, "can_prev": true, "nxt": "/problem/11_amc10A_p23", "prev": "/problem/11_amc10A_p21"}}