Question

a car license plate consists of 7 characters. the first 4 characters are numerals from 0 to 9. the last 3 characters are letters excluding i, o, and x. how many different license plates are possible? there are 26 letters in the alphabet.

Answer 1

121,670,000

Explanation:

There are 7 positions altogether.

Multiply the number of possible choices of each position.

_ × _ × _ × _ × _ × _ × _

The first 4 positions are filled with digits 1 through 9, so each one of the first 4 positions can have 10 different choices.

10 × 10 × 10 × 10 × _ × _ × _

The last 3 positions are letters A through Z, excluding I, O, X, so each one of the last 3 positions can have 23 different choices.

10 × 10 × 10 × 10 × 23 × 23 × 23 =

121,670,000