Question

License plates in a particular state display 2 letters followed by 5 numbers. How many different license plates can be manufactured for this​ state?

Answer 1

The number of different license plates that can be manufactured for this state can be calculated using the multiplication principle of counting.

For the two letters, there are 26 possibilities for each letter (A-Z), so there are

`26 * 26 = 676`

possibilities. For the five numbers, there are 10 possibilities for each number (0-9), so there are

`10 * 10 * 10 * 10 * 10 = 100,000`

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

`676 * 100,000 = 67,600,000`

So, there are 67,600,000 different license plates that can be manufactured for this state.