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Thread: Possibilities

  1. April 19th 2008, 10:05 AM #1
    adamskiiwa
    adamskiiwa is offline
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    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. April 19th 2008, 12:50 PM #2
    xifentoozlerix
    xifentoozlerix is offline
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    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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