voting
Borda vs plurality
Count only the top name, or score 2, then 1, then 0. The winner can change.
Seven ballots list A, B, and C from top to bottom. Green is A, yellow is B, and red is C. Three ballots say A, then B, then C. Two say B, then C, then A. Two say C, then B, then A.
One count gives 1 point to the top name and 0 to the other two. On a ballot that says A, then B, then C, that count gives 1 to A. The other count scores the whole list: 2 for the top name, 1 for the middle name, and 0 for the last name. That same ballot gives 2 to A, 1 to B, and 0 to C.
Press one count and the bars add those points across all seven ballots. You can also cross C off, or move one ballot from B over to A.
Top names only: A is on top 3 times, B 2 times, and C 2 times. A is ahead on that count.
Whole list: A has 3 tops and 0 middles, so 3 times 2 is 6. B has 2 tops and 5 middles, so 2 times 2, plus 5, is 9. C has 2 tops and 2 middles, so 2 times 2, plus 2, is 6. B is ahead on that count.
Same seven ballots. The winner changes because the counts ask different questions. Tops ask who is the first choice most often. The whole list asks who sits higher on more ballots.