Correction- the example should be

1 A
3 AB
2 B
1 C

7

Using Approval-- B wins.  Using common sense- A wins with a first choice 
majority.

If the 1 C voter likes B, then there could be--

2 A
2 AB
2 B
1 CB

7

Which majority is the happiest ? The 4 for A or the 5 for B

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