{"status": "success", "data": {"description_md": "Alice refuses to sit next to either Bob or Carla. Derek refuses to sit next to Eric. How many ways are there for the five of them to sit in a row of $5$ chairs under these conditions?\n\n$\\textbf{(A)}\\ 12  \\qquad \\textbf{(B)}\\ 16 \\qquad\\textbf{(C)}\\ 28 \\qquad\\textbf{(D)}\\ 32 \\qquad\\textbf{(E)}\\ 40$\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>Alice refuses to sit next to either Bob or Carla. Derek refuses to sit next to Eric. How many ways are there for the five of them to sit in a row of  <span class=\"katex--inline\">5</span>  chairs under these conditions?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 12  \\qquad \\textbf{(B)}\\ 16 \\qquad\\textbf{(C)}\\ 28 \\qquad\\textbf{(D)}\\ 32 \\qquad\\textbf{(E)}\\ 40</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": "2017 AMC 12A Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/17_amc12A_p15", "prev": "/problem/17_amc12A_p13"}}