{"status": "success", "data": {"description_md": "Eight points are chosen on a circle, and chords are drawn connecting every pair of points. No three chords intersect in a single point inside the circle. How many triangles with all three vertices in the interior of the circle are created?\n\n$\\mathrm{(A)}\\ 28\n\\qquad\n\\mathrm{(B)}\\ 56\n\\qquad\n\\mathrm{(C)}\\ 70\n\\qquad\n\\mathrm{(D)}\\ 84\n\\qquad\n\\mathrm{(E)}\\ 140$", "description_html": "<p>Eight points are chosen on a circle, and chords are drawn connecting every pair of points. No three chords intersect in a single point inside the circle. How many triangles with all three vertices in the interior of the circle are created?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 28\n\\qquad\n\\mathrm{(B)}\\ 56\n\\qquad\n\\mathrm{(C)}\\ 70\n\\qquad\n\\mathrm{(D)}\\ 84\n\\qquad\n\\mathrm{(E)}\\ 140</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": 4, "problem_name": "2010 AMC 10A Problem 22", "can_next": true, "can_prev": true, "nxt": "/problem/10_amc10A_p23", "prev": "/problem/10_amc10A_p21"}}