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 is the number of possible license plates increased?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
In the old scheme different plates could be constructed. In the new scheme different plates can be constructed. There are
times as many possible plates with the new scheme.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions