Question

A standard-issue 2014 New Jersey license plate had three digits followed by three letters. These plates were not allowed to have letters D, T, or X in the fourth position, or the letters I, O, or Q in any position. With these restrictions, how many different license plates were possible in 2014?

Answer 1

Explanation:

First digit 0 - 9 10 choices

Second digit 10 choices

Third digit 10 choices

Fourth 20 choices ( no d t x i o q )

Fitfth 23 choices ( no i o q)

Sixth 23 choices

10 x 10 x 10 x 20 x 23 x 23 = 10 580 000 possible plates