Eleven members of the executive committee of the Student Senate must vote for a student representative for the college board of trustees from among three​ candidates: Greenburg​ (G), Haskins​ (H), and Vazquez​ (V). The preference table follows. Determine the winner using the Borda count method.   Number of Votes 4 2 4 1 First G H V V Second H V G H Third V G H G Choose the correct answer below.     A. Vazquez   B. There is no winner. There is a three way tie.   C. There is no winner. There is a tie between Greenburg and Vazquez.   D. Haskins   E. Greenburg

8

The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S). Number of Votes 7 10 4 8 First JS JC Second S JCS Third CCS J After some discussion and quibbling from the committee about each candidate, a second election is then held resulting in the following preference table. The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S). Number of Votes 7 11 First Second Third CCS J If the plurality with elimination method is used to determine the winner, is the monotonicity criterion satisfied? Select one: a. No b. Yes 3 8 JSJC S JCS

Consider the following election.  This is the same table as above. Number of Voters 16 11 12 4 1st Choice B D A B 2nd Choice A A D D 3rd Choice D B C C 4th Choice C C B A Using the Plurality with the Elimination Method, the winner of the election is Group of answer choices D C B A