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Math Help - Possibilities

  1. #1
    Newbie
    Joined
    Apr 2008
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    1

    Possibilities

    Hello,

    I don't know how to work out this problem...

    There are 12 football matches each with 3 outcomes. Each match either ends up with the A team winning, the B team winning or they both draw.

    How many total possibilities are there?

    If anyone knows a solution please help!!

    Thank you!!
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  2. #2
    Member
    Joined
    Dec 2007
    Posts
    131
    You have 3 possibilities for each of 12 trials. This gives you \underbrace{3\times3\times3\times\ldots\times3}_{1  2 \; times}=3^{12}=531441
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