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?

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?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

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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