{"status": "success", "data": {"description_md": "How many nonempty subsets $B$ of $\\{0, 1, 2, 3, \\ldots, 12\\}$ have the property that the number of elements in $B$ is equal to the least element of $B$? For example, $B = \\{4, 6, 8, 11\\}$ satisfies the condition.\n\n$\\textbf{(A)}\\ 256 \\qquad\\textbf{(B)}\\ 136 \\qquad\\textbf{(C)}\\ 108 \\qquad\\textbf{(D)}\\ 144 \\qquad\\textbf{(E)}\\ 156$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>How many nonempty subsets  <span class=\"katex--inline\">B</span>  of  <span class=\"katex--inline\">\\{0, 1, 2, 3, \\ldots, 12\\}</span>  have the property that the number of elements in  <span class=\"katex--inline\">B</span>  is equal to the least element of  <span class=\"katex--inline\">B</span> ? For example,  <span class=\"katex--inline\">B = \\{4, 6, 8, 11\\}</span>  satisfies the condition.</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 256 \\qquad\\textbf{(B)}\\ 136 \\qquad\\textbf{(C)}\\ 108 \\qquad\\textbf{(D)}\\ 144 \\qquad\\textbf{(E)}\\ 156</span> </p>&#10;<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": 2, "problem_name": "2023 AMC 12B Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/23_amc12B_p09", "prev": "/problem/23_amc12B_p07"}}