. A weighted voting system for voters A, B, C, D and E is given by {36:30, 12, 9, 5, 3} . The weight of voter A is 30, the weight of voter B is 12, the weight of voter C is 9, the weight of voter D is 5, and the weight of voter E is 3.   How many coalitions can be formed? How many coalitions consist of exactly two voters?     A. None of the above. B. 16 ; 5 C. 32 ; 10 D. 15 ; 5 E. 31 ; 10   What is the Banzhaf power index of voter B? A. 13/21 B. 5/21 C. 3/21 D. 1/21

College Algebra
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Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
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4. A weighted voting system for voters A, B, C, D and E is given by {36:30, 12, 9, 5, 3} . The weight of voter A is 30, the weight of voter B is 12, the weight of voter C is 9, the weight of voter D is 5, and the weight of voter E is 3.
 
How many coalitions can be formed? How many coalitions consist of exactly two voters?
 
 
A. None of the above.
B. 16 ; 5
C. 32 ; 10
D. 15 ; 5
E. 31 ; 10
 
What is the Banzhaf power index of voter B?
A. 13/21
B. 5/21
C. 3/21
D. 1/21
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