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Math Help - Fundamental Counting principle problem

  1. #1
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    Angry Fundamental Counting principle problem

    In Europe, license plates are made up of 3 letters followed by 3 digits.

    What is the probability that you will receive a license plate with at least one letter repeated?

    I found the total number of outcomes 26x26x26x10x10x10 = 17 576 000

    26x1x26x10x10x10?

    No clue.
    Please help
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  2. #2
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    Re: Fundamental Counting principle problem

    Quote Originally Posted by terminator View Post
    In Europe, license plates are made up of 3 letters followed by 3 digits. What is the probability that you will receive a license plate with at least one letter repeated?
    Recall that at least one is the opposite on none.
    How many plates have no repeated letters?
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  3. #3
    Grand Panjandrum
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    Re: Fundamental Counting principle problem

    Quote Originally Posted by terminator View Post
    In Europe, license plates are made up of 3 letters followed by 3 digits.

    What is the probability that you will receive a license plate with at least one letter repeated?

    I found the total number of outcomes 26x26x26x10x10x10 = 17 576 000

    26x1x26x10x10x10?

    No clue.
    Please help
    Except the premise is not true and often the letters that do occur are not random or independent

    CB
    Last edited by CaptainBlack; October 4th 2011 at 11:01 PM.
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