{"status": "success", "data": {"description_md": "Ten women sit in $10$ seats in a line. All of the $10$ get up and then reseat themselves using all $10$ seats, each sitting in the seat she was in before or a seat next to the one she occupied before. In how many ways can the women be reseated?\n\n$\\textbf{(A)}\\ 89\\qquad \\textbf{(B)}\\ 90\\qquad \\textbf{(C)}\\ 120\\qquad \\textbf{(D)}\\ 2^{10}\\qquad \\textbf{(E)}\\ 2^2 3^8$\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>Ten women sit in  <span class=\"katex--inline\">10</span>  seats in a line. All of the  <span class=\"katex--inline\">10</span>  get up and then reseat themselves using all  <span class=\"katex--inline\">10</span>  seats, each sitting in the seat she was in before or a seat next to the one she occupied before. In how many ways can the women be reseated?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 89\\qquad \\textbf{(B)}\\ 90\\qquad \\textbf{(C)}\\ 120\\qquad \\textbf{(D)}\\ 2^{10}\\qquad \\textbf{(E)}\\ 2^2 3^8</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": 5, "problem_name": "2009 AMC 12B Problem 21", "can_next": true, "can_prev": true, "nxt": "/problem/09_amc12B_p22", "prev": "/problem/09_amc12B_p20"}}