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veighted voting system is given by {15: 8, 5, 4, 2, 1}. (a) What is the quota? (b) How many voters are in this system? voters

veighted voting system is given by {15: 8, 5, 4, 2, 1}. (a) What is the quota? (b) How many voters are in this system? voters

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The weighted voting systems for the voters A, B, C, ... are given in the form 

 
q: w1, w2, w3, w4, ..., wn
 
.

 The weight of voter A is w1, the weight of voter B is w2, the weight of voter C is w3, and so on.

A weighted voting system is given by {15: 8, 5, 4, 2, 1}. (a) What is the quota? (b) How many voters are in this system? voters (c) What is the weight of voter C? (d) What is the weight of the coalition {B, C}? (e) Is {B, C, D, E} a winning coalition? Yes No (f) Which voters are critical voters in the coalition {A, B, D}? O A A and B A and D B and D O A, B, and D (g) How many coalitions can be formed? coalitions (h) How many coalitions consist of exactly three voters? coalitions
Transcribed Image Text:A weighted voting system is given by {15: 8, 5, 4, 2, 1}. (a) What is the quota? (b) How many voters are in this system? voters (c) What is the weight of voter C? (d) What is the weight of the coalition {B, C}? (e) Is {B, C, D, E} a winning coalition? Yes No (f) Which voters are critical voters in the coalition {A, B, D}? O A A and B A and D B and D O A, B, and D (g) How many coalitions can be formed? coalitions (h) How many coalitions consist of exactly three voters? coalitions
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Notes-  Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts for you. To get the remaining sub-part solved please repost the complete question and mention the sub-parts to be solved.

Given,

A weighted voting system is given by 15:8,5,4,2,1.

The representation of weighted voting systems for the voter's A, B, C, ... 

q:w1,w2,w3,........,wn

q represents the total number of voters.

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