Solve the problem.A law firm has two senior partners (A and B) and three associate partners (C, D, and E). In order for any decision to be made concerning the practice, both senior partners and at least two associate partners must agree. Compute the Banzhaf power index for each voter. If another associate partner, F, is added, compute the new Banzhaf power index for each voter assuming that two senior partners and two associates must agree.

A. Prior: A and B have index of  ; C, D, and E have index of .
New: A and B have index of  ; C, D, E, and F have index of .
B. Prior: A and B have index of  ; C has index of  ; D and E have index of .
New: A and B have index of  ; C, D, E, and F have index of .
C. Prior: A and B have index of  ; C, D, and E have index of .
New: A, B, and C have index of  ; D, E, and F have index of .
D. Prior: A and B have index of  ; C has index of  ; D and E have index of .
New: A, B, and C have index of  ; D, E, and F have index of .


Answer: A

Mathematics

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