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?

676,000 possible license plate

Step-by-step 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.