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Apply the pigeonhole principle to answer the following questions. If the pigeonhole principle cannot be applied, give a specific counterexample. 1. A team of three high jumpers all have a personal record that is at least 6 feet and less than 7 feet. Is it necessarily true

Apply the pigeonhole principle to answer the following questions. If the pigeonhole principle cannot be applied, give a specific counterexample. 1. A team of three high jumpers all have a personal record that is at least 6 feet and less than 7 feet. Is it necessarily true

A First Course in Probability (10th Edition)
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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Apply the pigeonhole principle to answer the following questions. If the pigeonhole principle cannot be applied, give a specific counterexample.
1. A team of three high jumpers all have a personal record that is at least 6 feet and less than 7 feet. Is it necessarily true that two of the team members must have personal records that are within four inches of each other?

2. What if there are four jumpers?

Note that here heights are measured to within a precision of 1/4 inch

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