{"status": "success", "data": {"description_md": "$10$ points are placed equidistant on a circle. In how many ways can we draw $5$ line segments which start and end at the points on the circle such that no $2$ lines intersect? If $2$ lines share the same vertex, they intersect.", "description_html": "<p><span class=\"katex--inline\">10</span> points are placed equidistant on a circle. In how many ways can we draw <span class=\"katex--inline\">5</span> line segments which start and end at the points on the circle such that no <span class=\"katex--inline\">2</span> lines intersect? If <span class=\"katex--inline\">2</span> lines share the same vertex, they intersect.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "AMC Practice #1 - Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/amc1-p11", "prev": "/problem/amc1-p09"}}