HMMT 2017 U12
- Guts
- Answer
In a certain college containing 1000 students, students may choose to major in exactly one of math, computer science, finance, or English. The diversity ratio of a student is the defined as number of students in a different major from divided by the number of students in the same major as (including ). The diversity of the college is the sum of all the diversity ratios .
Determine all possible values of .
Dataset text NuminaMath olympiads. Quoted with source.
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{0,1000,2000,3000}
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