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Math Help - just need to check

  1. #1
    Newbie
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    Apr 2010
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    Arrow just need to check

    so the question is this:

    A football Team containing 4 professionals and 7 amateurs is to be chosen from 6 professionals and 10 amateurs. In how many ways can this be done?

    and i worked it out like this:


    6C4 x 10C7 [note: C is the Combination function: n!/(r!(n-r)!)]

    so i just need to check if this is rights.. cos it's from a past paper and i don't have the answer for it doing my A-level next Saturday

    thanks for your time
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  2. #2
    Super Member

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    Hello, XonBugeja!

    A football team containing 4 professionals and 7 amateurs
    is to be chosen from 6 professionals and 10 amateurs.
    In how many ways can this be done?

    I worked it out like this: . _6C_4 \times\, _{10}C_7
    . . . . . Correct!

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