Park Forest retirement community in Tennessee is purchasing a van to be used by the residents. The 372 residents are unable to agree on a style of license plate for the van and decide to hold an election in which the residents rank their choices from among the following: American Music (A), standard issue Tennessee license plate (T), Wildlife (W), and State Parks (S). The results of this election are given in the preference table below.

(a) Does any plate receive a majority of first-place votes? If so, which plate received a majority?

(b) Using the plurality method, which plate is selected? 

(c) Using the Borda count method, which plate is selected? 

(d) Using the plurality with elimination method, which plate is selected? American Music 

(e) Using the pairwise comparison method, which plate is selected?

Transcribed Image Text:

12 65 161 Number of Votes 134 First A A A Second т т Third Fourth A