{"status": "success", "data": {"description_md": "Ten chairs are evenly spaced around a round table  and numbered clockwise from $1$ through $10$. Five married couples are to sit in the chairs with men and women alternating, and no one is to sit either next to or across from his/her spouse. How many seating arrangements are possible?\n\n$\\mathrm{(A)}\\ 240\\qquad\\mathrm{(B)}\\ 360\\qquad\\mathrm{(C)}\\ 480\\qquad\\mathrm{(D)}\\ 540\\qquad\\mathrm{(E)}\\ 720$", "description_html": "<p>Ten chairs are evenly spaced around a round table  and numbered clockwise from  <span class=\"katex--inline\">1</span>  through  <span class=\"katex--inline\">10</span> . Five married couples are to sit in the chairs with men and women alternating, and no one is to sit either next to or across from his/her spouse. How many seating arrangements are possible?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 240\\qquad\\mathrm{(B)}\\ 360\\qquad\\mathrm{(C)}\\ 480\\qquad\\mathrm{(D)}\\ 540\\qquad\\mathrm{(E)}\\ 720</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": "2008 AMC 10B Problem 21", "can_next": true, "can_prev": true, "nxt": "/problem/08_amc10B_p22", "prev": "/problem/08_amc10B_p20"}}