A car license plate consists of 6 characters. The first 3 characters are letters excluding I, O, Q and U. The last 3 characters are any of the numerals 0 to 9 inclusive. How many different license plates are possible?

Question

Please show your work.

Answer 1

Repetitions are permitted.

For the letters, there are 26-4=22 choices for each character.

For the numbers, there are 10 choices for each digit.

Total number of different licence plates
= 22^3*10^3

Answer 2

thank you so much. how come it wouldn't be 22P3*10P3?

Answer 3

When "Repetitions are permitted", you'd think of powers.