{"status": "success", "data": {"description_md": "A license plate in a certain state consists of 4 digits, not necessarily distinct, and 2 letters, also not necessarily distinct. These six characters may appear in any order, except that the two letters must appear next to each other. How many distinct license plates are possible? \n\n$\\mathrm{(A)}\\ 10^4\\times26^2\\qquad\\mathrm{(B)}\\ 10^3\\times26^3\\qquad\\mathrm{(C)}\\ 5\\times10^4\\times26^2\\qquad\\mathrm{(D)}\\ 10^2\\times26^4\\qquad\\mathrm{(E)}\\ 5\\times10^3\\times26^3$", "description_html": "<p>A license plate in a certain state consists of 4 digits, not necessarily distinct, and 2 letters, also not necessarily distinct. These six characters may appear in any order, except that the two letters must appear next to each other. How many distinct license plates are possible?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 10^4\\times26^2\\qquad\\mathrm{(B)}\\ 10^3\\times26^3\\qquad\\mathrm{(C)}\\ 5\\times10^4\\times26^2\\qquad\\mathrm{(D)}\\ 10^2\\times26^4\\qquad\\mathrm{(E)}\\ 5\\times10^3\\times26^3</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": "2006 AMC 10A Problem 18", "can_next": true, "can_prev": true, "nxt": "/problem/06_amc10A_p19", "prev": "/problem/06_amc10A_p17"}}