Question 2.65

1. In New York State, one type of license plate has three letters followed by three numbers. Suppose the digits from 0, 1, …, 9 can be used, except that all three digits cannot be zero, and that any letter from A to Z (repeats allowed) can be used. How many plates are possible?
2. Investigate what schemes for license plates are used in your state and determine how many different plates are possible.