The thirty members of the Bekbrick Film Academy have to decide which of four actors, Adjani (A), Bhaskar (B), Craig (C) and Dench (D) is to receive the highly prestigious Bekbrick best actor award for 2022. Each member gives a preference list rating the four actors from most deserving to least deserving. The following table gives the resulting preference lists together with the num- ber of members, N, with the corresponding list. List N АBDC 4 АВCD 4 BADC CBDA CBDA DABC DCBA 3 (a) Determine which actor is chosen if the Academy members use plurality to decide the result. (b) Determine which actor is chosen if the Academy members use the Borda count to decide the result. (c) Determine which actor is chosen if the Academy members use the Hare system to decide the result.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The thirty members of the Bekbrick Film Academy have to decide which of four actors,
Adjani (A), Bhaskar (B), Craig (C) and Dench (D) is to receive the highly prestigious
Bekbrick best actor award for 2022.
Each member gives a preference list rating the four actors from most deserving to least
deserving. The following table gives the resulting preference lists together with the num-
ber of members, N, with the corresponding list.
List
АBDC
4
АВCD
4
BADC
CBDA
3
CBDA
DABC
DCBA
3
(a) Determine which actor is chosen if the Academy members use plurality to decide
the result.
(b) Determine which actor is chosen if the Academy members use the Borda count to
decide the result.
(c) Determine which actor is chosen if the Academy members use the Hare system to
decide the result.
Transcribed Image Text:The thirty members of the Bekbrick Film Academy have to decide which of four actors, Adjani (A), Bhaskar (B), Craig (C) and Dench (D) is to receive the highly prestigious Bekbrick best actor award for 2022. Each member gives a preference list rating the four actors from most deserving to least deserving. The following table gives the resulting preference lists together with the num- ber of members, N, with the corresponding list. List АBDC 4 АВCD 4 BADC CBDA 3 CBDA DABC DCBA 3 (a) Determine which actor is chosen if the Academy members use plurality to decide the result. (b) Determine which actor is chosen if the Academy members use the Borda count to decide the result. (c) Determine which actor is chosen if the Academy members use the Hare system to decide the result.
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