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counting and probability intermediate

Problem

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 has the number of possible license plates increased?
(A)
(B)
(C)
(D)
Solution
There are letters and digits. There were old license plates. There are new license plates. The number of license plates increased by Note: Nebraska is not actually the home of the AMC, the AMC resides in Washington D.C., where its headquarters is located.
Final answer
C