There are 7 different time periods in a day during which classes at BRAC University can be scheduled. If there are 597 classes of different courses held per day, what is the minimum number of classrooms that will be needed? (b) What is the minimum number of students, each of whom comes from one of the 64 districts of Bangladesh, which must be enrolled in BRAC University to guarantee that there are at least 200 who come from the same district?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
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Solve using " Pigeonhole Principle "

(a) There are 7 different time periods in a day during which classes at BRAC University can be
scheduled. If there are 597 classes of different courses held per day, what is the minimum
number of classrooms that will be needed?

(b) What is the minimum number of students, each of whom comes from one of the 64 districts
of Bangladesh, which must be enrolled in BRAC University to guarantee that there are at least
200 who come from the same district?

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