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AIME 2001b Problem 2

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Each of the 20012001 students at a high school studies either Spanish or French, and some study both. The number who study Spanish is between 8080 percent and 8585 percent of the school population, and the number who study French is between 3030 percent and 4040 percent. Let mm be the smallest number of students who could study both languages, and let MM be the largest number of students who could study both languages. Find M−mM-m.

Dataset text AIME 1983 to 2026. Quoted with source.

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