Question

In a small state, the license plate for a car begins with two letters, which may be repeated, and ends with three digits, which also may be repeated. How many license plates are possible in that state?

Answer 1

676,000 possible license plate

Explanation:

Each letter has 26 possible values (from A to Z), and each digit has 10 possible values (from 0 to 9).

So to find the number of license plates we can have, we just need to multiply the number of possible values for each letter and each digit, We have 2 letters and 3 digits, so we have:

Number of plates = 26 * 26 * 10 * 10 * 10 = 676000

We have 676,000 possible licence plates in this state.