{"status": "success", "data": {"description_md": "The regular octagon $ABCDEFGH$ has its center at $J$. Each of the vertices and the center are to be associated with one of the digits $1$ through $9$, with each digit used once, in such a way that the sums of the numbers on the lines $AJE$, $BJF$, $CJG$, and $DJH$ are all equal. In how many ways can this be done?\n\n$\\textbf{(A)}\\ 384 \\qquad\\textbf{(B)}\\ 576 \\qquad\\textbf{(C)}\\ 1152 \\qquad\\textbf{(D)}\\ 1680 \\qquad\\textbf{(E)}\\ 3456$\n\n
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The regular octagon ABCDEFGH has its center at J . Each of the vertices and the center are to be associated with one of the digits 1 through 9 , with each digit used once, in such a way that the sums of the numbers on the lines AJE , BJF , CJG , and DJH are all equal. In how many ways can this be done?

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\\textbf{(A)}\\ 384 \\qquad\\textbf{(B)}\\ 576 \\qquad\\textbf{(C)}\\ 1152 \\qquad\\textbf{(D)}\\ 1680 \\qquad\\textbf{(E)}\\ 3456

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Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "2013 AMC 10B Problem 22", "can_next": true, "can_prev": true, "nxt": "/problem/13_amc10B_p23", "prev": "/problem/13_amc10B_p21"}}