{"status": "success", "data": {"description_md": "For a set of four distinct lines in a plane, there are exactly $N$ distinct points that lie on two or more of the lines. What is the sum of all possible values of $N$?\n\n$\\textbf{(A) } 14 \\qquad \\textbf{(B) } 16 \\qquad \\textbf{(C) } 18 \\qquad \\textbf{(D) } 19 \\qquad \\textbf{(E) } 21$", "description_html": "<p>For a set of four distinct lines in a plane, there are exactly  <span class=\"katex--inline\">N</span>  distinct points that lie on two or more of the lines. What is the sum of all possible values of  <span class=\"katex--inline\">N</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 14 \\qquad \\textbf{(B) } 16 \\qquad \\textbf{(C) } 18 \\qquad \\textbf{(D) } 19 \\qquad \\textbf{(E) } 21</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": "2019 AMC 10A Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/19_amc10A_p15", "prev": "/problem/19_amc10A_p13"}}