{"status": "success", "data": {"description_md": "All of David's telephone numbers have the form $555-abc-defg$, where $a$, $b$, $c$, $d$, $e$, $f$, and $g$ are distinct digits and in increasing order, and none is either $0$ or $1$. How many different telephone numbers can David have?\n\n$\\mathrm{(A)} 1 \\qquad \\mathrm{(B)} 2 \\qquad \\mathrm{(C)} 7 \\qquad \\mathrm{(D)} 8 \\qquad \\mathrm{(E)} 9$", "description_html": "<p>All of David&#8217;s telephone numbers have the form  <span class=\"katex--inline\">555-abc-defg</span> , where  <span class=\"katex--inline\">a</span> ,  <span class=\"katex--inline\">b</span> ,  <span class=\"katex--inline\">c</span> ,  <span class=\"katex--inline\">d</span> ,  <span class=\"katex--inline\">e</span> ,  <span class=\"katex--inline\">f</span> , and  <span class=\"katex--inline\">g</span>  are distinct digits and in increasing order, and none is either  <span class=\"katex--inline\">0</span>  or  <span class=\"katex--inline\">1</span> . How many different telephone numbers can David have?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)} 1 \\qquad \\mathrm{(B)} 2 \\qquad \\mathrm{(C)} 7 \\qquad \\mathrm{(D)} 8 \\qquad \\mathrm{(E)} 9</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": "2005 AMC 10B Problem 18", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc10B_p19", "prev": "/problem/05_amc10B_p17"}}