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Math Help - Tennis Court Problem

  1. #1
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    Tennis Court Problem

    Hi guys,

    This one is doing my head in. Please help if you can.

    Kim and Ann are two of twelve guests at a tennis party, where people are playing doubles on three courts. The twelve have been divided randomly into three groups of four.
    Find the probability that:

    a.Kim and Ann play on the same court =
    b.Kim and Ann play on the River court =
    c.Kim is on River court and Ann is on the Rose court =
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  2. #2
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    Quote Originally Posted by Joel View Post
    Kim and Ann are two of twelve guests at a tennis party, where people are playing doubles on three courts. The twelve have been divided randomly into three groups of four.
    Find the probability that:
    a.Kim and Ann play on the same court =
    b.Kim and Ann play on the River court =
    c.Kim is on River court and Ann is on the Rose court =
    There are \frac{12!}{(4!)^3 (3!)} ways to divide twleve people into three groups of four each.
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