I need some help with this problem which involves the difference between three integers R.3. Given 8 different natural numbers, none greater than 15, show that at least three pairs ofthem must differ by the same (positive) amount.

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Answered: R.3. Given 8 different natural numbers,…

R.3. Given 8 different natural numbers, none greater than 15, show that at least three pairs of them must differ by the same (positive) amount.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.6: Counting Principles

Problem 8ECP: In how many different ways can two letters be chosen from the letters A, B, C, D, E, F, and G? (The...

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I need some help with this problem which involves the difference between three integers

R.3. Given 8 different natural numbers, none greater than 15, show that at least three pairs of
them must differ by the same (positive) amount.

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