Question

How many license plates can New Jersey issue if their system is composed of three letters, two digits, and a letter?

Your answer:
O 67,345,200
124
23,900,500
45,697,600

Answer 1

The number of possible license plates is 4,569,760

Explanation:

The license plates have the format:

LLLDDL

Where L is for Letters and D is for digits. There are 26 different letters and 10 different digits.

The first group LLL can be filled with letters (with possible repetitions) in
`26^3` different combinations.

The second group DD can be filled with digits with possible repetitions is
`10^2` combinations.

The last letter can be filled in 26 different ways.

Thus the total possible combinations are:

`26^3*10^2*26=17,576*100*26=4,569,760`

The number of possible license plates is 4,569,760