Questions: Consider that three candidates, Enrique, Louis, and Carlos run for office. Determine who would win by popular vote (plurality), if one exists. Ranking: ELC, ECL, LEC, LCE, CEL Number of Votes: 23, 21, 25, 28, 24 Enrique wins by plurality Carlos wins by plurality Louis wins plurality No winner by plurality

To determine who would win by popular vote (plurality), we need to count the number of first-place votes each candidate receives. The candidate with the most first-place votes wins by plurality.

Let's break down the votes:

• ELC: Enrique is first, Louis is second, Carlos is third. Number of votes: 23
• ECL: Enrique is first, Carlos is second, Louis is third. Number of votes: 21
• LEC: Louis is first, Enrique is second, Carlos is third. Number of votes: 25
• LCE: Louis is first, Carlos is second, Enrique is third. Number of votes: 28
• CEL: Carlos is first, Enrique is second, Louis is third. Number of votes: 24

Now, let's count the first-place votes for each candidate:

• Enrique: 23 (ELC) + 21 (ECL) = 44 votes
• Louis: 25 (LEC) + 28 (LCE) = 53 votes
• Carlos: 24 (CEL) = 24 votes

The answer is Louis wins plurality

Enrique receives 23 votes from ELC and 21 votes from ECL, totaling 44 first-place votes.

Louis receives 25 votes from LEC and 28 votes from LCE, totaling 53 first-place votes.

Carlos receives 24 votes from CEL, totaling 24 first-place votes.

Louis has the highest number of first-place votes (53), so he wins by plurality.