A teacher administers a multiple-choice quiz with four questions and four possible answers: a, b, c, and d. What is the bare minimum of students required in the class to ensure that at least three answer sheets are identical? 2. What is the minimum number of students from each of the 15 regions who must be enrolled in a university to ensure that there are at least 52 from the same region?

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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1. A teacher administers a multiple-choice quiz with four questions and four possible answers: a, b, c, and d. What is the bare minimum of students required in the class to ensure that at least three answer sheets are identical?

2. What is the minimum number of students from each of the 15 regions who must be enrolled in a university to ensure that there are at least 52 from the same region?

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