{"status": "success", "data": {"description_md": "Nebraska, the home of the AMC, changed its license plate scheme. Each old license plate consisted of a letter followed by four digits. Each new license plate consists of three letters followed by three digits. By how many times is the number of possible license plates increased?\n\n$\\textbf{(A) } \\frac{26}{10} \\qquad\\textbf{(B) } \\frac{26^2}{10^2} \\qquad\\textbf{(C) } \\frac{26^2}{10} \\qquad\\textbf{(D) } \\frac{26^3}{10^3} \\qquad\\textbf{(E) } \\frac{26^3}{10^2}$", "description_html": "<p>Nebraska, the home of the AMC, changed its license plate scheme. Each old license plate consisted of a letter followed by four digits. Each new license plate consists of three letters followed by three digits. By how many times is the number of possible license plates increased?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } \\frac{26}{10} \\qquad\\textbf{(B) } \\frac{26^2}{10^2} \\qquad\\textbf{(C) } \\frac{26^2}{10} \\qquad\\textbf{(D) } \\frac{26^3}{10^3} \\qquad\\textbf{(E) } \\frac{26^3}{10^2}</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": 1, "problem_name": "2003 AMC 10B Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/03_amc10B_p11", "prev": "/problem/03_amc10B_p09"}}