{"status": "success", "data": {"description_md": "Call a positive integer $\\textbf{monotonous}$ if it is a one-digit number or its digits, when read from left to right, form either a strictly increasing or a strictly decreasing sequence. For example, $3$, $23578$, and $987620$ are monotonous, but $88$, $7434$, and $23557$ are not. How many monotonous positive integers are there?\n\n$\\textbf{(A)}\\ 1024\\qquad\\textbf{(B)}\\ 1524\\qquad\\textbf{(C)}\\ 1533\\qquad\\textbf{(D)}\\ 1536\\qquad\\textbf{(E)}\\ 2048$", "description_html": "<p>Call a positive integer  <span class=\"katex--inline\">\\textbf{monotonous}</span>  if it is a one-digit number or its digits, when read from left to right, form either a strictly increasing or a strictly decreasing sequence. For example,  <span class=\"katex--inline\">3</span> ,  <span class=\"katex--inline\">23578</span> , and  <span class=\"katex--inline\">987620</span>  are monotonous, but  <span class=\"katex--inline\">88</span> ,  <span class=\"katex--inline\">7434</span> , and  <span class=\"katex--inline\">23557</span>  are not. How many monotonous positive integers are there?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 1024\\qquad\\textbf{(B)}\\ 1524\\qquad\\textbf{(C)}\\ 1533\\qquad\\textbf{(D)}\\ 1536\\qquad\\textbf{(E)}\\ 2048</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": "2017 AMC 10B Problem 17", "can_next": true, "can_prev": true, "nxt": "/problem/17_amc10B_p18", "prev": "/problem/17_amc10B_p16"}}