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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.

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  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

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

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

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