{"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$\\textbf{(A)}\\ 12\\qquad\\textbf{(B)}\\ 16\\qquad\\textbf{(C)}\\ 28\\qquad\\textbf{(D)}\\ 32\\qquad\\textbf{(E)}\\ 40$", "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 5 chairs under these conditions?</p>\n<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>\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": 3, "problem_name": "2017 AMC 10A Problem 19", "can_next": true, "can_prev": true, "nxt": "/problem/17_amc10A_p20", "prev": "/problem/17_amc10A_p18"}}