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Thread: Probability?

  1. #1
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    Probability?




    Find the total number of outcomes when choosing the last
    three digits in a five-digit zip code if the first digit is 6 and the
    second digit is 1, and no digit is used more than once.

  2. #2
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    There are 10 digits in total (0, 1, 2,...,9).
    Two digits are in use already.
    Since no digit is used more than once, we have the following:
    For the 3rd digit, there are 10-2=8 choices.
    For the 4th digit, there are 10-3=7 choices.
    For the 5th digit, there are 10-4=6 choices.

    Thus the total number of outcomes is 8*7*6=336


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