Suppose you host a party for 19 of your close friends. In total, there are 20 people at the party. Explain why there must be at least 2 people in the party who are friends with the same number of people at the party. Assume friendship is always reciprocated.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Suppose you host a party for 19 of your close friends. In total, there are 20 people at the party. Explain why there must be at least 2 people in the party who are friends with the same number of people at the party. Assume friendship is always reciprocated.

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