Question

Consider the weighted voting system ​[12​:10​,7​,4​,1].
(a) Write down all winning coalitions.

Answer 1

Sorry :/ im a bit confused. my hw is multiple choice and all of the choices are
A. {P1​, P2​}, ​{P1​, P4​}, ​{P1​, P2​, P3​}, ​{P1​, P2​, P4​}, ​{P2​, P3​, P4​}, ​{P1​, P2​, P3​, P4​}
B. {P1​, P2​}, ​{P1​, P3​}, ​{P1​, P2​, P3​}, ​{P1​, P2​, P4​}, ​{P1​, P3​, P4​}, ​{P2​, P3​, P4​}, {P1, P2, P3, P4}
C. ​{P1​, P2​}, ​{P1​, P4​}, ​{P1​, P2​, P3​}, ​{P1​, P2​, P4​}, ​{P1​, P3​, P4​}, ​{P2​, P3​, P4​}, {P1, P2, P3, P4}
D. ​{P1​, P2​}, ​{P1​, P3​}, ​{P1​, P2​, P3​}, ​{P1​, P2​, P4​}, ​{P2​, P3​, P4​}, ​{P1​, P2​, P3​, P4​}

Answer 2

P1 P4 and P2P3 can't win, so that just B or C is possible. However, compare the two, B is more precise than D