Four seniors on the baseball team, Joe Aaron (A), Billy Bonds (B), Mike Griffey (G), and Tim Ruth (R), are being considered for team captain. The 21 other members of the team are asked to rank them in order of preference from first to fourth. The ballots are grouped as follows.
a. Who is selected as team captain using the plurality method?
b. Who is selected as team captain using the plurality method with elimination?
c. Who is selected as team captain using the Borda count method?
d. Who is selected as team captain using a modified Borda count method with assigned values of 6 points for first place, 3 points for second, 2 points for third, and 1 point for fourth?
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