{"status": "success", "data": {"description_md": "How many triangles with positive area have all their vertices at points $(i,j)$ in the coordinate plane, where $i$ and $j$ are integers between $1$ and $5$, inclusive?\n\n$\\textbf{(A)}\\ 2128 \\qquad\\textbf{(B)}\\ 2148 \\qquad\\textbf{(C)}\\ 2160 \\qquad\\textbf{(D)}\\ 2200 \\qquad\\textbf{(E)}\\ 2300$", "description_html": "<p>How many triangles with positive area have all their vertices at points  <span class=\"katex--inline\">(i,j)</span>  in the coordinate plane, where  <span class=\"katex--inline\">i</span>  and  <span class=\"katex--inline\">j</span>  are integers between  <span class=\"katex--inline\">1</span>  and  <span class=\"katex--inline\">5</span> , inclusive?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 2128 \\qquad\\textbf{(B)}\\ 2148 \\qquad\\textbf{(C)}\\ 2160 \\qquad\\textbf{(D)}\\ 2200 \\qquad\\textbf{(E)}\\ 2300</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": "2017 AMC 10A Problem 23", "can_next": true, "can_prev": true, "nxt": "/problem/17_amc10A_p24", "prev": "/problem/17_amc10A_p22"}}