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Math Help - Combination Problem

  1. #1
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    Combination Problem

    So, let's say I am a wine producer and I have thirteen possible grapes to put into my wine. I can use only grape a, or I can use grape a, g, and h. In other words, I can use any number between 1 and 13 grapes to make the wine, and I can choose any 13 grapes to make those combinations.

    What is the formula to do this? Do I need to use some kind of factorial?


    Thanks.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by htdefiant View Post
    So, let's say I am a wine producer and I have thirteen possible grapes to put into my wine. I can use only grape a, or I can use grape a, g, and h. In other words, I can use any number between 1 and 13 grapes to make the wine, and I can choose any 13 grapes to make those combinations.

    What is the formula to do this? Do I need to use some kind of factorial?


    Thanks.
    are you asking how many different kinds of wine you can make?
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  3. #3
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    Yes.
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  4. #4
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    There are 2^{13}-1 nonempty subsets of a set of 13.
    It is not clear, however, that this is the answer to you post.
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