Refer to the weighted voting system [25:17, 9, 8, 6] and the Banzhaf definition of power to answer questions 5 and 6: 5. The winning coalitions for the weighted voting system are A. (17,9,8,6},{17,9,8},{17,9,6},{17,8,6} B. {17,9,8,6},{17,9,8},{17,9,6},{17,8,6},{17,9} C. {17,9,8,6},{17,9,8},{17,9,6},{17,8,6},{17,9},{17,8} D. {17,9,8,6},{17,9,8},{17,9,6},{17,8,6},{9,8,6},{17,9},{17,8},{17,6} E. {17,9,8,6},{17,9,8},{17,9,6},{17,8,6},{9,8,6},{17,9},{17,8},{17,6},{9,8},{9,6},{8,6},{17},{9}, {8},{6} 6. Which players in {17, 8, 6} are critical if the quota is 16 (majority rule)? A. None of the players are critical. B. 17 and 8 are the only critical players. C. 17 is the only critical player. D. All of the players are critical. E. None of the above.
Refer to the weighted voting system [25:17, 9, 8, 6] and the Banzhaf definition of power to answer questions 5 and 6: 5. The winning coalitions for the weighted voting system are A. (17,9,8,6},{17,9,8},{17,9,6},{17,8,6} B. {17,9,8,6},{17,9,8},{17,9,6},{17,8,6},{17,9} C. {17,9,8,6},{17,9,8},{17,9,6},{17,8,6},{17,9},{17,8} D. {17,9,8,6},{17,9,8},{17,9,6},{17,8,6},{9,8,6},{17,9},{17,8},{17,6} E. {17,9,8,6},{17,9,8},{17,9,6},{17,8,6},{9,8,6},{17,9},{17,8},{17,6},{9,8},{9,6},{8,6},{17},{9}, {8},{6} 6. Which players in {17, 8, 6} are critical if the quota is 16 (majority rule)? A. None of the players are critical. B. 17 and 8 are the only critical players. C. 17 is the only critical player. D. All of the players are critical. E. None of the above.
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 40E: Choosing Officers From a pool of 12 candidates, the offices of president, vice-president, secretary,...
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For questions 5 and 6.
![Refer to the weighted voting system [25:17, 9, 8, 6] and the Banzhaf definition of power to
answer questions 5 and 6:
5. The winning coalitions for the weighted voting system are
A. {17,9,8,6},{17,9,8},{17,9,6},{17,8,6}
B. {17,9,8,6},{17,9,8},{17,9,6},{17,8,6},{17,9}
C. {17,9,8,6},{17,9,8},{17,9,6},{17,8,6},{17,9},{17,8}
D. {17,9,8,6},{17,9,8},{17,9,6},{17,8,6},{9,8,6},{17,9},{17,8},{17,6}
E.
{17,9,8,6},{17,9,8},{17,9,6},{17,8,6},{9,8,6},{17,9},{17,8},{17,6},{9,8},{9,6},{8,6},{17},{9},
{8},{6}
6.
Which players in {17, 8, 6} are critical if the quota is 16 (majority rule)?
A. None of the players are critical.
B. 17 and 8 are the only critical players.
C. 17 is the only critical player.
D. All of the players are critical.
E. None of the above.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4bac516d-1b8d-4b0c-9693-768b5c56a097%2Fddb0d095-09d6-4cac-9212-9e9de2b1196a%2Fpjygbt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Refer to the weighted voting system [25:17, 9, 8, 6] and the Banzhaf definition of power to
answer questions 5 and 6:
5. The winning coalitions for the weighted voting system are
A. {17,9,8,6},{17,9,8},{17,9,6},{17,8,6}
B. {17,9,8,6},{17,9,8},{17,9,6},{17,8,6},{17,9}
C. {17,9,8,6},{17,9,8},{17,9,6},{17,8,6},{17,9},{17,8}
D. {17,9,8,6},{17,9,8},{17,9,6},{17,8,6},{9,8,6},{17,9},{17,8},{17,6}
E.
{17,9,8,6},{17,9,8},{17,9,6},{17,8,6},{9,8,6},{17,9},{17,8},{17,6},{9,8},{9,6},{8,6},{17},{9},
{8},{6}
6.
Which players in {17, 8, 6} are critical if the quota is 16 (majority rule)?
A. None of the players are critical.
B. 17 and 8 are the only critical players.
C. 17 is the only critical player.
D. All of the players are critical.
E. None of the above.
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