Solve the problem.A committee is selected to vote yes or no on a proposed location for a new parts distribution center. The committee is composed of three people who live in (A)bbeytown, five people who live in (B)arnsborough, six people who live in (C)hatterville, eight people who live in (D)itherburgh, and nine people who live in (E)lkington. At least 23 votes are required for a decision, and the committee members will vote in blocs according to their places of residence. List all winning coalitions, and identify those blocs that are critical to each of the winning coalitions.

Question

A. {A, B, C, D, E}, {B, C, D, E}, {A, C, D, E}, {A, B, D, E}, {A, B, C, E}, {C, D, E} ;
Only D and E are critical to {A, B, C, D, E} ;
Only C, D, and E are critical to {B, C, D, E} ;
Only C, D, and E are critical to {A, C, D, E} ;
A, B, D, and E are critical to {A, B, D, E} ;
A, B, C, and E are critical to {A, B, C, E} ;
C, D, and E are critical to {C, D, E} ;
B. {A, B, C, D, E}, {B, C, D, E}, {A, C, D, E}, {A, B, D, E}, {A, B, C, E}, {C, D, E} ;
Only E is critical to {A, B, C, D, E} ;
Only C, D, and E are critical to {B, C, D, E} ;
Only C, D, and E are critical to {A, C, D, E} ;
A, B, D, and E are critical to {A, B, D, E} ;
A, B, C, and E are critical to {A, B, C, E} ;
C, D, and E are critical to {C, D, E} ;
C. {A, B, C, D, E}, {B, C, D, E}, {A, C, D, E}, {A, B, D, E}, {A, B, C, E}, {C, D, E} ;
Only E is critical to {A, B, C, D, E} ;
Only C, D, and E are critical to {B, C, D, E} ;
Only C, D, and E are critical to {A, C, D, E} ;
Only B, D, and E are critical to {A, B, D, E} ;
Only B, C, and E are critical to {A, B, C, E} ;
C, D, and E are critical to {C, D, E} ;
D. {B, C, D, E}, {A, C, D, E}, {A, B, D, E}, {A, B, C, E}, {C, D, E} ;
Only C, D, and E are critical to {B, C, D, E} ;
Only C, D, and E are critical to {A, C, D, E} ;
A, B, D, and E are critical to {A, B, D, E} ;
A, B, C, and E are critical to {A, B, C, E} ;
C, D, and E are critical to {C, D, E} ;

Answer 1

Answer: B