{"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 <span class=\"katex--inline\">20</span> elements, and set <span class=\"katex--inline\">B</span> has <span class=\"katex--inline\">15</span> 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>&#10;<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>&#10;", "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"}}