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Math Help - Groups

  1. #1
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    This is probably asked in a million places on here but I can't even remember the name of what this is called let alone how to do it.

    I have a problem that needs me to find how many different groups of application can be selected for a position when I have 6 positions to fill and 12 applicants.

    I have completely forgotten how to do this (This is not the actual question for the problem). I know it's just a case of multiplying some numbers together or something but just can't even get close to remembering.
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  2. #2
    MHF Contributor harish21's Avatar
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    Quote Originally Posted by wadeal View Post
    This is probably asked in a million places on here but I can't even remember the name of what this is called let alone how to do it.

    I have a problem that needs me to find how many different groups of application can be selected for a position when I have 6 positions to fill and 12 applicants.

    I have completely forgotten how to do this (This is not the actual question for the problem). I know it's just a case of multiplying some numbers together or something but just can't even get close to remembering.
    P(12,6) = \frac{12!}{(12-6)!} = \frac{1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7\times 8 \times 9 \times 10 \times 11 \times 12}{1 \times 2 \times 3 \times 4 \times 5 \times 6}

    = 7\times 8 \times 9 \times 10 \times 11 \times 12  = ...
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