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A movie theater complex contains several auditoriums. There are 8 movies that start at

Chapter 8, Problem 8

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QUESTION:

A movie theater complex contains several auditoriums. There are 8 movies that start at approximately the same time. If a total of 550 people go to one of these 8 movies, then what is the smallest possible number of people in the theater containing the largest number of people?

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QUESTION:

A movie theater complex contains several auditoriums. There are 8 movies that start at approximately the same time. If a total of 550 people go to one of these 8 movies, then what is the smallest possible number of people in the theater containing the largest number of people?

ANSWER:

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The Pigeonhole Principle: If a set S with n elements is divided into k pairwise disjoint subsets then at least one of these subsets has at least elements.

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