{"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 <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;", "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"}}