{"status": "success", "data": {"description_md": "A permutation $(a_1,a_2,a_3,a_4,a_5)$ of $(1,2,3,4,5)$ is $\\textit{heavy-tailed}$ if $a_1 + a_2 < a_4 + a_5$.  What is the number of heavy-tailed permutations?\n\n$\\mathrm{(A)}\\ 36\\qquad\\mathrm{(B)}\\ 40\\qquad\\textbf{(C)}\\ 44\\qquad\\mathrm{(D)}\\ 48\\qquad\\mathrm{(E)}\\ 52$\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>A permutation  <span class=\"katex--inline\">(a_1,a_2,a_3,a_4,a_5)</span>  of  <span class=\"katex--inline\">(1,2,3,4,5)</span>  is  <span class=\"katex--inline\">\\textit{heavy-tailed}</span>  if  <span class=\"katex--inline\">a_1 + a_2 &lt; a_4 + a_5</span> .  What is the number of heavy-tailed permutations?</p>&#10;<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 36\\qquad\\mathrm{(B)}\\ 40\\qquad\\textbf{(C)}\\ 44\\qquad\\mathrm{(D)}\\ 48\\qquad\\mathrm{(E)}\\ 52</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": "2008 AMC 12A Problem 21", "can_next": true, "can_prev": true, "nxt": "/problem/08_amc12A_p22", "prev": "/problem/08_amc12A_p20"}}