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You are at a party with 50 people, including yourself. Everyone at the party is between 18 and 25 years of age, inclusive. You want to make a bet that there are at least x people at the party of the same age. How large can you make x and yet be sure to win your bet? Explain your answer using the generalized pigeonhole principle.

You are at a party with 50 people, including yourself. Everyone at the party is between 18 and 25 years of age, inclusive. You want to make a bet that there are at least x people at the party of the same age. How large can you make x and yet be sure to win your bet? Explain your answer using the generalized pigeonhole principle.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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You are at a party with 50 people, including yourself. Everyone at the party is between 18 and 25 years of age, inclusive. You want to make a bet that there are at least x people at the party of the same age. How large can you make x and yet be sure to win your bet? Explain your answer using the generalized pigeonhole principle.
Transcribed Image Text:You are at a party with 50 people, including yourself. Everyone at the party is between 18 and 25 years of age, inclusive. You want to make a bet that there are at least x people at the party of the same age. How large can you make x and yet be sure to win your bet? Explain your answer using the generalized pigeonhole principle.
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