Question

A state offers specialty license plates that contain 2 letters followed by 2 numbers. License plates are assignedrandomly. All license plates are equally likely. Find the number of possible license plates that can be issuedusing this system.

Answer 1

In order to calculate the number of different plates, let's check the number of possible values for each digit or letter in the plate.

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

Since we have two letters and two digits in this order, the total number of different plates is:

`\begin{gathered} 26\cdot26\cdot10\cdot10 \\ =67600 \end{gathered}`

The number of different plates is 67,600, therefore the correct option is the third one.