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Math Help - Question on adding combinations

  1. #1
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    Question on adding combinations

    So, I have three expressions P Q and R, and their negatives. I want to add them together in all possible ways, like so:

    P Q R
    P Q -R
    P -Q -R
    -P Q R
    -P Q -R
    -P -Q -R

    Order doesn't really matter since you're adding the terms together, I know this. I just want to make sure I have completely exhausted all possibilities, as well as know how I did. I have very little discrete math knowledge.

    Thanks
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  2. #2
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    Quote Originally Posted by Skinner View Post
    So, I have three expressions P Q and R, and their negatives. I want to add them together in all possible ways, like so:

    P Q R
    P Q -R
    P -Q -R
    -P Q R
    -P Q -R
    -P -Q -R

    Order doesn't really matter since you're adding the terms together, I know this. I just want to make sure I have completely exhausted all possibilities, as well as know how I did. I have very little discrete math knowledge.

    Thanks
    Hi Skinner,

    If you have 3 expressions, each of which can be negated or not, then there should be 2 x 2 x 2 = 8 possibilities in all.
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