{"status": "success", "data": {"description_md": "In how many ways can the sequence $1, 2, 3, 4, 5$ be rearranged so that no three consecutive terms are increasing and no three consecutive terms are decreasing?\n\n$\\textbf{(A)} ~10\\qquad\\textbf{(B)} ~18\\qquad\\textbf{(C)} ~24\\qquad\\textbf{(D)} ~32\\qquad\\textbf{(E)} ~44$", "description_html": "<p>In how many ways can the sequence  <span class=\"katex--inline\">1, 2, 3, 4, 5</span>  be rearranged so that no three consecutive terms are increasing and no three consecutive terms are decreasing?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)} ~10\\qquad\\textbf{(B)} ~18\\qquad\\textbf{(C)} ~24\\qquad\\textbf{(D)} ~32\\qquad\\textbf{(E)} ~44</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": "2021 AMC 10A Problem 20", "can_next": true, "can_prev": true, "nxt": "/problem/21_amc10A_p21", "prev": "/problem/21_amc10A_p19"}}