{"status": "success", "data": {"description_md": "Define an $upno$ to be a positive integer of $2$ or more digits where the digits are strictly\nincreasing moving left to right. Similarly, define a $downno$ to be a positive integer \nof $2$ or more digits where the digits are strictly decreasing moving left to right. For\ninstance, the number $258$ is an upno and $8620$ is a downno. Let $U$ equal the total\nnumber of $upnos$ and let $D$ equal the total number of $downnos$. What is $|U-D|$?\n\n$\\textbf{(A)}~512\\qquad\\textbf{(B)}~10\\qquad\\textbf{(C)}~0\\qquad\\textbf{(D)}~9\\qquad\\textbf{(E)}~511$", "description_html": "<p>Define an  <span class=\"katex--inline\">upno</span>  to be a positive integer of  <span class=\"katex--inline\">2</span>  or more digits where the digits are strictly<br/>\nincreasing moving left to right. Similarly, define a  <span class=\"katex--inline\">downno</span>  to be a positive integer<br/>\nof  <span class=\"katex--inline\">2</span>  or more digits where the digits are strictly decreasing moving left to right. For<br/>\ninstance, the number  <span class=\"katex--inline\">258</span>  is an upno and  <span class=\"katex--inline\">8620</span>  is a downno. Let  <span class=\"katex--inline\">U</span>  equal the total<br/>\nnumber of  <span class=\"katex--inline\">upnos</span>  and let  <span class=\"katex--inline\">D</span>  equal the total number of  <span class=\"katex--inline\">downnos</span> . What is  <span class=\"katex--inline\">|U-D|</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}~512\\qquad\\textbf{(B)}~10\\qquad\\textbf{(C)}~0\\qquad\\textbf{(D)}~9\\qquad\\textbf{(E)}~511</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": "2023 AMC 10B Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/23_amc10B_p17", "prev": "/problem/23_amc10B_p15"}}