Question

Assume boat license plates have two numbers, followed by three letters, followed by two numbers. Letters and numbers can repeat multiple times in the same license plate. For example, possible license plates are 12ABC40 and 55EEE55. How many different license plates are possible?

Answer 1

175,760,000

Explanation:

This is the counting principle.

There are 7 positions. Multiply the number of possible characters in each position.

_ × _ × _ × _ × _ × _ × _

The numbers are from 0 to 9, so there are 10 of them.

There are 26 letters in the English alphabet.

10 × 10 × 26 × 26 × 26 × 10 × 10

Answer: 175,760,000