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Determine Whether the Specified Paradox Occurs Does the New-States Paradox Occur Using Hamiltonʹs Method of Apportionment

question 45

Multiple Choice

Determine whether the specified paradox occurs.
-A country with two states has 16 seats in the legislature. The population of each state is given by:  State  A  B  Total  Population 86,34277,312163,654 A third state is added with 5 additional seats as shown below.  State  A  B  C  Total  Population 86,34277,31253,792217,446\begin{array}{l}\begin{array} { l l l l } \hline \text { State } & \text { A } & \text { B } & \text { Total } \\\hline \text { Population } & 86,342 & 77,312 & 163,654 \\\hline\end{array}\\\text { A third state is added with } 5 \text { additional seats as shown below. }\\\begin{array} { l l l l l } \hline \text { State } & \text { A } & \text { B } & \text { C } & \text { Total } \\\hline \text { Population } & 86,342 & 77,312 & 53,792 & 217,446 \\\hline\end{array}\end{array} Does the new-states paradox occur using Hamiltonʹs method of apportionment?


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