a. How many votes were cast?  b. Use the plurality method to determine the winner.  c. What percent of the votes did the winner in letter (b) receive?

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Author:Erwin Kreyszig
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Math: Methods of Voting

  1. The members of campus club are having a cleanup drive. There are three departments who will participate the activity: BSAB, BSPA, and BSCD. The members are asked to rank these choices in order of preference ,and the results are summarized in the following preference table:

 

 

Number of Ballots cast

     

 

 

15

10

12

21

 

1st Choice

BSPA

BSCD

BSCD

BSAB

 

2nd Choice

BSAB

BSPA

BSAB

BSPA

 

3rd Choice

BSCD

BSAB

BSPA

BSCD

 

 

a. How many votes were cast? 

b. Use the plurality method to determine the winner. 

c. What percent of the votes did the winner in letter (b) receive? 

d. Use the majority method to determine the winner. 

e. What percent of votes did the winner in letter (d) receive?

f. Use Borda Count method to determine the winner. 

g. How many points did the winner in letter (f) receive? 

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