Five voters must choose from among four options A B C or D E

Five voters must choose from among four options: A, B, C, or D. Each voter\'s preferences are summarized in the table below. Options higher in the table are more preferred by the voter Preferences Voter Voter 2 Voter 3 Voter 4 Voter 5 1st Choice 2nd Choice 3rd Choice 4th Choice 1. Refer to Table 22-4. If the vote were conducted according to a Borda count system where each person\'s first choice receives 4 points, second choice 3 points, third choice 2 points and fourth choice 1 point, the result would be a. that A would win b. that B would win. c. that C would win. d. a tie between A and D. 2. Refer to Table 22-4. If the vote were conducted according to a modified Borda count system where nd choice 5 points, third choice 3 points and each person\'s first choice receives 10 points, seco fourth choice 1 point, the result would be that a. A would win. b. B would win. c. C would win. d. D would win.

Solution

ANS 1.   

  

A total = 13 , B total =12 , Ctotal =12 , D total = 13

option d is correct we have tie between A and D .

ANS 2.

OPTION C ic correct C would win as it has highest points.

ans 3.

voter 1 prefrence : D> A> B> C

voter 2 prefrence : C > B> A > D

voter 3 prefrence : B> A> D> C

voter 4 prefrence : C>D>B> A

voter 5 prefrence : A> D> C> B

BETWEEN C(2votes)and D(3votes) , D wins ; now choose betwwen D (2votes)and A(3votes) , A wins ; now choose between A(2votes) and B(3votes) , B wins .

thus option d is the correct choice.

ans 4 .

Between A(2votes)and B(3votes), B wins; now choose between B(2votes) AND C(3votes) , C wins ; now choose between C(2vote) and D(3votes) , D wins

hence the correct option is A.

ans 5.

option C is correct as the last choosing should include A and only option C has last choosing between A and the other option. (intuitive)

options	1voter	2voter	3voter	4voter	5voter
A	3	2	3	1	4
B	2	3	4	2	1
C	1	4	1	4	2
D	4	1	2	3	3