{"status": "success", "data": {"description_md": "What is the average (mean) of all $5$-digit numbers that can be formed by using each of the digits $1$, $3$, $5$, $7$, and $8$ exactly once?\n\n$\\mathrm{(A)} 48000 \\qquad \\mathrm{(B)} 49999.5 \\qquad \\mathrm{(C)} 53332.8 \\qquad \\mathrm{(D)} 55555 \\qquad \\mathrm{(E)} 56432.8$", "description_html": "<p>What is the average (mean) of all  <span class=\"katex--inline\">5</span> -digit numbers that can be formed by using each of the digits  <span class=\"katex--inline\">1</span> ,  <span class=\"katex--inline\">3</span> ,  <span class=\"katex--inline\">5</span> ,  <span class=\"katex--inline\">7</span> , and  <span class=\"katex--inline\">8</span>  exactly once?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)} 48000 \\qquad \\mathrm{(B)} 49999.5 \\qquad \\mathrm{(C)} 53332.8 \\qquad \\mathrm{(D)} 55555 \\qquad \\mathrm{(E)} 56432.8</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 20", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc10B_p21", "prev": "/problem/05_amc10B_p19"}}