Consider a three-way race between candidates called A, B, and C with a preference table shown on the right. Complete parts (a) through (e) below. a. Find the winner by plurality. The winner by plurality is b. Find the winner by single runoff. The winner by single runoff is c. Find the winner by sequential runoff. The winner by sequential runoff is First Choice Second Choice Third Choice A B С 21 C B A 19 B C A 17 C A B 7

Choosing Officers From a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer need to be filled. In how many different ways can the offices be filled?

Determines who wins the plurality vote and who wins the rank voting or preferential voting method in the election. 1. There are 650 students in a school, and they all get to vote for the school president. There are 3 candidates: Rios, • Millie, • Charles. Each student will receive a ballot and they will rank the candidates in or of 1", 2nd, and 3rd choice. Remember on the preferential vote the winning candidate must have 1 more than half the votes. See the results of the election below. Votes 225 175 250 225 1¹ Millie Charles Rios 250 and a. The person who has the largest number of first place votes is b. The person who has the fewest number of first place votes is c. The candidate we eliminate is d. Fill in the new table. 1 Charles Millie Millie Rios Rios Charles 2rd Is there a majority of votes for a candidate now? If yes, who is that candidate, and how many the first place votes does that candidate have? f. Who won the plurality vote or single candidate voting method? Explain how…

Find a preference table for an election with candidates A, B, and C, where A wins using the Borda count method. Choose the correct answer below. OA. Number of Votes First Choice Second Choice Third Choice C. Number of Votes First Choice Second Choice Third Choice 15 10 4 A C C C B A B A B 15 10 5 A B C C C B B A A OB. Number of Votes 15 10 5 First Choice Second Choice Third Choice OD. Number of Votes First Choice Second Choice Third Choice AC А с B SBA А C 2635 C B A 5 10 A C C C B B A A сл