Question: write combinations, programming

Is there a way to program this:

I have to write an equation like this (x1+x2)*(x1+x3)*(x2+x3)=0. Left side is a combination, k=2 and n=3 so the number of terms is 3. For small number of terms this is not a problem to type, but if I have x1,x2,x3,x4,x5,x6, the number of combinations is 15 so it is complicated. Is there a way how to program something like this in Maple or I have to do it manually?


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