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.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 5SE: Answer the following questions. 5. What is the term for the arrangement that selects r objects from...
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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.
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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