 Groups 1 and 2 constitute majority cycles with the voters evenly distributed among the three possible rankings. Such profiles are called Condorcet components.  These profiles form a perfect symmetry among the rankings. So, within each of these groups, it is natural to assume that the  voters’ opinions cancel each other out; therefore, the decision should depend only on the voters in group 3. In group 3, candidate \(B\) is the clear winner. 