Each possible complete ranking of the candidates is given a "distance"
score. For each pair of candidates, find the number of ballots that
the the opposite way as the given ranking. The distance is
the sum across all such pairs. The ranking with the least distance wins.
Kemeny-Young is vulnerable to [[Tactical voting|compromising]], [[Tactical voting|burying]], and [[Strategic nomination|crowding]].
The distance score for this ranking is 32+32+42+17+42+42=207.
It can be shown that this ranking is the one with the lowest distance score. Therefore, the winning ranking is Nashville>Chattanooga>Knoxville>Memphis, and so the winning candidate is Nashville.
== Notes ==
[[Category:Single-winner voting methods]]
[[Category:Smith-efficient Condorcet methods]]