2. [8 points] Your post-pandemic YOLO preparedness club is attempting to elect a new club president. There are three choices (A, B, and C) and 43 members who will vote. The preference rankings of the members are shown below: Preference Rankings Number of Voters 8 15 14 6 1st Choice A C B A 20d Choice B B A C 3" Choice C A C B a) [1 point] Who would win under a single vote plurality voting rule? b) [2 points] You are the agenda setter. Design a pairwise-plurality rule agenda order under which candidate B would win. c) [2 point] Prove that A is or is neither a Condorcet winner nor Condorcet loser. d) [2 point] Under a one-shot election with a Borda count voting system, which choice would be the winner? Show your math