{"status": "success", "data": {"description_md": "There are 10 people standing equally spaced around a circle. Each person knows exactly 3 of the other 9 people: the 2 people standing next to her or him, as well as the person directly across the circle. How many ways are there for the 10 people to split up into 5 pairs so that the members of each pair know each other?\n\n$\\textbf{(A) } 11 \\qquad \\textbf{(B) } 12 \\qquad \\textbf{(C) } 13 \\qquad \\textbf{(D) } 14 \\qquad \\textbf{(E) } 15$\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>There are 10 people standing equally spaced around a circle. Each person knows exactly 3 of the other 9 people: the 2 people standing next to her or him, as well as the person directly across the circle. How many ways are there for the 10 people to split up into 5 pairs so that the members of each pair know each other?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) } 11 \\qquad \\textbf{(B) } 12 \\qquad \\textbf{(C) } 13 \\qquad \\textbf{(D) } 14 \\qquad \\textbf{(E) } 15</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": 3, "problem_name": "2020 AMC 12B Problem 15", "can_next": true, "can_prev": true, "nxt": "/problem/20_amc12B_p16", "prev": "/problem/20_amc12B_p14"}}