lich_hegemon,

Let's assume that everyone who upvoted their option also downvoted the alternative.

The group A, has |A| number of individuals. Group B has |B| number.

Option A: |A| - |B|
Option B: |B| - |A|

Option A = |A| - |B| 
         = -(-(|A| - |B|))
         = -(|B| - |A|)
         = -Option B

The results would be opposites of each other and would highlight the opinion of the majority anyway.

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