Posted by **corey** on Monday, May 23, 2011 at 7:31pm.

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?

Please show your work.

- math -
**MathMate**, Monday, May 23, 2011 at 8:01pm
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

- math -
**corey**, Monday, May 23, 2011 at 8:10pm
thank you so much. how come it wouldn't be 22P3*10P3?

- math -
**MathMate**, Monday, May 23, 2011 at 9:00pm
When "Repetitions are permitted", you'd think of powers.

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