question archive Using the Pigeonhole Principle, assume there are a total of 2n + 1 people that are seated around a round table

Using the Pigeonhole Principle, assume there are a total of 2n + 1 people that are seated around a round table

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Using the Pigeonhole Principle, assume there are a total of 2n + 1 people that are seated around a round table. And n+1 of them have red hair and n of them have purple hair. Then show that if n ≥ 2, then there is a person between two people that has red hair.

 

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