{"status": "success", "data": {"description_md": "How many ways are there to split the integers $1$ through $14$ into $7$ pairs such that in each pair, the greater number is at least $2$ times the lesser number?\n\n$\\textbf{(A) } 108 \\qquad \\textbf{(B) } 120 \\qquad \\textbf{(C) } 126 \\qquad \\textbf{(D) } 132 \\qquad \\textbf{(E) } 144$", "description_html": "<p>How many ways are there to split the integers  <span class=\"katex--inline\">1</span>  through  <span class=\"katex--inline\">14</span>  into  <span class=\"katex--inline\">7</span>  pairs such that in each pair, the greater number is at least  <span class=\"katex--inline\">2</span>  times the lesser number?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 108 \\qquad \\textbf{(B) } 120 \\qquad \\textbf{(C) } 126 \\qquad \\textbf{(D) } 132 \\qquad \\textbf{(E) } 144</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": "2022 AMC 10A Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/22_amc10A_p15", "prev": "/problem/22_amc10A_p13"}}