Skip to main content
Counting
4. Probability / Counting / Problem 3
Problem 3

A certain state’s license plates consist of a sequence of 22 letters followed by 33 digits. Each letter can be any of the 2626 English letters, and each digit can be any of the 1010 digits from 00 to 99. Letters and digits may be repeated.
For example, valid license plate codes include AB123AB123, ZZ999ZZ999, and QW007QW007. How many different license plate codes are possible?