Question

In a small state, the license plate for a car begins with two letters, cannot be repeated, and 3 digits that can be repeated. How many license plates are possible in that state?

a) 676,000
b) 676,000,000
c) 175,760,000
d) 26,000

Answer 1

In a small state, the number of possible license plates can be calculated by multiplying the number of choices for each part of the license plate.

Step-by-step explanation:

To calculate the number of possible license plates in the state, we need to consider the number of choices for each part of the license plate.

1. For the first letter, there are 26 choices (A-Z).
2. For the second letter, there are 25 choices (since it cannot be repeated after the first letter).
3. For the first digit, there are 10 choices (0-9).
4. For the second digit, there are 10 choices (0-9).
5. For the third digit, there are 10 choices (0-9).

To find the total number of possibilities, we multiply the number of choices for each part: 26 x 25 x 10 x 10 x 10 = 65,000.