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Math Help - PLEASE HELP with Permutations

  1. #1
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    PLEASE HELP with Permutations

    here's the problem:

    the license plates for a certain state display 3 letters followed by 3 numbers. how many different license plates can be manufactured if no repetitions of letters or digits are allowed?

    is this how i set it up?

    9x8x7 and 26x25x24

    how do i combine the two? i need to use a permutation right?
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  2. #2
    Senior Member
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    Quote Originally Posted by acharles View Post
    here's the problem:

    the license plates for a certain state display 3 letters followed by 3 numbers. how many different license plates can be manufactured if no repetitions of letters or digits are allowed?

    is this how i set it up?

    9x8x7 and 26x25x24

    seems right, but 9 digits? is 0 not a digit?

    Quote Originally Posted by acharles View Post
    how do i combine the two?
    By multiplication
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  3. #3
    Junior Member
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    Quote Originally Posted by acharles View Post
    here's the problem:

    the license plates for a certain state display 3 letters followed by 3 numbers. how many different license plates can be manufactured if no repetitions of letters or digits are allowed?

    is this how i set it up?

    9x8x7 and 26x25x24

    how do i combine the two? i need to use a permutation right?
    It's 10*9*8 since 0-9 has 10 digits.

    So...

    26P3 * 10P3 = 11,232,000


    EDIT: blah, a bit too slow to it :P was watching TV while reading forum during commercial lol
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