You have 15 white balls arranged in a triangular arrangement. 7 balls are painted blue and 8 green. Show that no matter how the balls are arranged, after they are painted, there will always be at least two blue balls that are adjacent to each other.
You have 15 white balls arranged in a triangular arrangement. 7 balls are painted blue and 8 green. Show that no matter how the balls are arranged, after they are painted, there will always be at least two blue balls that are adjacent to each other.
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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Transcribed Image Text:You have 15 white balls arranged in a triangular
arrangement. 7 balls are painted blue and 8 green.
Show that no matter how the balls are arranged, after
they are painted, there will always be at least two blue
balls that are adjacent to each other.
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