Given the weighted voting system [6: 4, 3, 2, 1], which of the coalitions listed are winning coalitions?
$I \{ A , B \}$
II $\{ A , C \}$
III $\{ B , C , D \}$
A) I only
B) I and II
C) I and III
D) I, II, and III

Question

Given the weighted voting system [6: 4, 3, 2, 1], which of the coalitions listed are winning coalitions? 
$I \{ A , B \}$
II $\{ A , C \}$
III $\{ B , C , D \}$
A) I only
B) I and II
C) I and III
D) I, II, and III

Quizplus · Accepted Answer

All three coalitions are winning because each has enough votes to reach or exceed the quota of 6 when their votes are summed. Coalition I (A, B) has 7 votes, Coalition II (A, C) has 7 votes, and Coalition III (B, C, D) has 6 votes.

Given the Weighted Voting System [6: 4, 3, 2, 1] I{A,B}I \{ A , B \}I{A,B}

Given the Weighted Voting System [6: 4, 3, 2, 1] $I \{ A , B \}$