{"status": "success", "data": {"description_md": "Set $A$ has 20 elements, and set $B$ has 15 elements. What is the smallest possible number of elements in $A   \\cup  B$, the union of $A$ and $B$?\n\n$\\textbf{(A)}\\ 5 \\qquad\\textbf{(B)}\\ 15 \\qquad\\textbf{(C)}\\ 20\\qquad\\textbf{(D)}\\ 35\\qquad\\textbf{(E)}\\ 300$", "description_html": "<p>Set  <span class=\"katex--inline\">A</span>  has 20 elements, and set  <span class=\"katex--inline\">B</span>  has 15 elements. What is the smallest possible number of elements in  <span class=\"katex--inline\">A   \\cup  B</span> , the union of  <span class=\"katex--inline\">A</span>  and  <span class=\"katex--inline\">B</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 5 \\qquad\\textbf{(B)}\\ 15 \\qquad\\textbf{(C)}\\ 20\\qquad\\textbf{(D)}\\ 35\\qquad\\textbf{(E)}\\ 300</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": 1, "problem_name": "2011 AMC 10A Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/11_amc10A_p07", "prev": "/problem/11_amc10A_p05"}}