In a high school cafeteria, they have circular tables with ten spots that are each then assigned and labeled for students. Suppose that everyone assigned to the table has sitten at the table but no one has sitten in their correct spots. Prove that it's possible for someone to rotate the table without moving anyones chair and have at least two people sitting at the correct spots. This equation must be solved using a mathematical proof, mainly using the pigeonhole principle.

In a high school cafeteria, they have circular tables with ten spots that are each then assigned and labeled for students. Suppose that everyone assigned to the table has sitten at the table but no one has sitten in their correct spots. Prove that it's possible for someone to rotate the table without moving anyones chair and have at least two people sitting at the correct spots. This equation must be solved using a mathematical proof, mainly using the pigeonhole principle.

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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