Anthony, Edward, and Gavin are roommates and are deciding wh…

Questions

Anthоny, Edwаrd, аnd Gаvin are rооmmates and are deciding which item to add to their apartment. They each suggest a first choice and then vote on the options. Their first choice, second choice, and third choice preferences are as shown in the following table: Circular preferences for roommates roommate 1st Choice 2nd Choice 3rd Choice Antony 50" TV PS4 New Couch Edward PS4 New Couch 50" TV Gavin New Couch 50" TV PS4 Based on the table, complete the sentence below: The roommates will vote PS4 over a New Couch by [option1], and a New Couch over a 50" TV by [option2]. If PS4 is preferred to a [option3] and a [option4] is preferred to a [option5], it might seem that it must be true that the [option6] is the favorite. But in a vote of a [option7] versus a PS4, the [option8] wins by 2-1 vote. Hence, when a [option9] occurs, choosing a single favorite that is always preferred by a majority becomes [option10].