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?