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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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.
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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