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New States Paradox with the Hamilton Method In each case, use the Hamilton method to apportion legislative seats to two states with the given populations. Show that the new states paradox occurs if a new state with the indicated population and the appropriate number of additional seats is included in a second Hamilton method apportionment. The appropriate number of seats to add for the second apportionment is the state’s standard quota of the new state, computed using the original two-state standard divisor, rounded down to the nearest integer. The populations are given in hundreds.
75 seats are apportioned.
State | Original State a | Original State b | New State c |
Population | 3184 | 8475 | 330 |
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