Does the new states paradox occur in Problem 35?

Data from Problem 35

Suppose that a third Professional \((\mathrm{P})\) college is established with 525 students. Also, assume that 5 new scholarships are established. Use Hamilton's method to apportion the 105 scholarships to the three colleges.

Each year, 100 scholarships are awarded to the students. Use this information in Problems 33-36.

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A university has two colleges, Letters and Sciences (L) and Educa- tion (E), with enrollments as shown in the following table. College: Enrollment: L 8,955 E 1,045 Total 10,000