The Southwestern High School Class of 1982 is organizing its 35-year class reunion and is trying to pick out a band to play at the reunion. The choices are REO Speedwagon (R), Boston (B), Journey (J), and Fleetwood Mac (F). The class members have ranked their choices as indicated in the following preference table.

(a) Is one band favored over all others in a head-to-head comparison? 

(b) Which band is chosen if the plurality method is used? 

(c)  Which band is chosen if the Borda count method is used?

(d) Which band is chosen if the plurality with elimination method is used? 

(e) Which band is chosen if the pairwise comparison method is used? 

(f) Which voting methods in parts (a) through (e) violate the head-to-head criterion?

Transcribed Image Text:

Number of Votes First Second 34 25 15 B R J R R Third R R F B Fourth B B B