A Filipino cultural group in the US is deciding what type of fundraising activity to do to collect cash donations for typhoon victims in the Philippines. Members have to rank their choices in order of preference. There are 3 activities to choose from: Dance (D), Concert (C) and Bingo (B). The results are summarized in the following table: 256 234 275 325 240 216 B B D D D 1st choice 2nd choice 3rd choice D B D C B 1. How many members are in the group if everyone casts a vote? 2 Using the plurality voting method, determine which activity is the winner 3. What percent of the votes did the winner in previous item (#2) receive?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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A Filipino cultural group in the US is deciding what type of fundraising activity to do to collect cash
donations for typhoon victims in the Philippines. Members have to rank their choices in order of
preference. There are 3 activities to choose from: Dance (D), Concert (C) and Bingo (B). The results
are summarized in the following table:
256
234
275
325
240
216
1st choice
B
D
C
B
D
D
2nd choice
C
3rd choice
D
B
B
1. How many members are in the group if everyone casts a vote?
2 Using the plurality voting method, determine which activity is the winner
3. What percent of the votes did the winner in previous item (#2) receive?
4. Using the instant runoff method, which activity is the winner?
5. What percent of the votes did the winner in the previous item (#4) receive?
6. Using the Borda count method, which activity is the winner?
7. How many points did the winning activity in the previous item (#6) receive?
8 Using the pairwise comparison method, which activity is the winner?
9. How many points did the winning activity in the previous item (#8) receive?
Transcribed Image Text:A Filipino cultural group in the US is deciding what type of fundraising activity to do to collect cash donations for typhoon victims in the Philippines. Members have to rank their choices in order of preference. There are 3 activities to choose from: Dance (D), Concert (C) and Bingo (B). The results are summarized in the following table: 256 234 275 325 240 216 1st choice B D C B D D 2nd choice C 3rd choice D B B 1. How many members are in the group if everyone casts a vote? 2 Using the plurality voting method, determine which activity is the winner 3. What percent of the votes did the winner in previous item (#2) receive? 4. Using the instant runoff method, which activity is the winner? 5. What percent of the votes did the winner in the previous item (#4) receive? 6. Using the Borda count method, which activity is the winner? 7. How many points did the winning activity in the previous item (#6) receive? 8 Using the pairwise comparison method, which activity is the winner? 9. How many points did the winning activity in the previous item (#8) receive?
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