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Exercise 16

Avg difficulty 2.5

A small country consists of three states, whose populations are listed below.

ABC
10,00010,0001,000

  1. If the legislature has 10 seats, use Hamilton's method to apportion the seats. Which rule is not met in this case?

  2. If the legislature grows to 11 seats, use Hamilton's method to apportion the seats.

  3. If there could only be 10 seats, what do you think would be a fair solution?

Lee et al., Math in Society, §5.1 Apportionment, Exercise 16

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Adapted from Math in Society © 2018–2024 Portland Community College Math Instructors. Licensed under CC BY-SA 4.0. Source: Math in Society. Imported at revision 68ee43c.