Question

License plates in a particular state display 3 letter followed by 2 numbers. How many different license plates can be manufactured for this state

Answer 1

To calculate the number of different license plates that can be manufactured for this state, we need to determine the number of possible combinations for each character in the license plate.

For the first letter, there are 26 possibilities (A-Z).
For the second letter, there are 26 possibilities (A-Z).
For the third letter, there are 26 possibilities (A-Z).
For the first number, there are 10 possibilities (0-9).
For the second number, there are 10 possibilities (0-9).

Therefore, the total number of different license plates that can be manufactured is:

26 * 26 * 26 * 10 * 10 = 17,576,000.