Thread: 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

Originally Posted by Skinner

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.