Question

A state license plate consists of three letters followed by three digits. If repetition is allowed, how many different license plates are possible? A. 17,576,000 B. 12,812,904 C. 11,232,000 D. 7,862,400

Answer 1

The correct answer is A. 17,576,000. If we think about the problem, there are 26 letters in the alphabet and 10 digits from 0 to 9 that can be used on the license plate. Since repetition is allowed, we can choose any of the 26 letters and 10 digits for each of the six positions on the license plate, resulting in a total of 26 x 26 x 26 x 10 x 10 x 10 = 17,576,000 different possible license plates.

Explanation: