Questions: Consider the weighted voting system [14: 8,5,4,2,1] Find the weight of the coalition P2, P3, P4 Weight =

Consider the weighted voting system [14: 8,5,4,2,1] Find the weight of the coalition P2, P3, P4 Weight =
Transcript text: Consider the weighted voting system $[14: 8,5,4,2,1]$ Find the weight of the coalition $\left\{P_{2}, P_{3}, P_{4}\right\}$ Weight $=$ $\square$
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Solution

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Solution Steps

To find the weight of the coalition \(\{P_2, P_3, P_4\}\) in the weighted voting system \([14: 8, 5, 4, 2, 1]\), we need to sum the weights of \(P_2\), \(P_3\), and \(P_4\).

Step 1: Identify the Weights of the Coalition Members

Given the weighted voting system \([14: 8, 5, 4, 2, 1]\), we need to find the weights of the coalition \(\{P_2, P_3, P_4\}\). The weights of \(P_2\), \(P_3\), and \(P_4\) are 5, 4, and 2, respectively.

Step 2: Sum the Weights of the Coalition Members

To find the total weight of the coalition \(\{P_2, P_3, P_4\}\), we sum the individual weights: \[ \text{Weight} = 5 + 4 + 2 \]

Step 3: Calculate the Total Weight

Perform the addition: \[ \text{Weight} = 5 + 4 + 2 = 11 \]

Final Answer

\(\boxed{11}\)

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