{"status": "success", "data": {"description_md": "How many integers between $100$ and $999$, inclusive, have the property that some permutation of its digits is a multiple of $11$ between $100$ and $999?$ For example, both $121$ and $211$ have this property.\n\n$\\textbf{(A)}\\ 226\\qquad\\textbf{(B)}\\ 243\\qquad\\textbf{(C)}\\ 270\\qquad\\textbf{(D)}\\ 469\\qquad\\textbf{(E)}\\ 486$", "description_html": "<p>How many integers between  <span class=\"katex--inline\">100</span>  and  <span class=\"katex--inline\">999</span> , inclusive, have the property that some permutation of its digits is a multiple of  <span class=\"katex--inline\">11</span>  between  <span class=\"katex--inline\">100</span>  and  <span class=\"katex--inline\">999?</span>  For example, both  <span class=\"katex--inline\">121</span>  and  <span class=\"katex--inline\">211</span>  have this property.</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 226\\qquad\\textbf{(B)}\\ 243\\qquad\\textbf{(C)}\\ 270\\qquad\\textbf{(D)}\\ 469\\qquad\\textbf{(E)}\\ 486</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 25", "can_next": false, "can_prev": true, "nxt": "", "prev": "/problem/17_amc10A_p24"}}