Answered: Using Pigeonhole principle to prove, if…

Using Pigeonhole principle to prove, if there exists 6 integers (between 1 and 10) in set S, then there will exist two subsets A and B, which the sum of A is equal to the sum of B.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.1: Ideals And Quotient Rings

Problem 19E: 19. Let and be nonzero integers. Prove that if and only if divides .

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Using Pigeonhole principle to prove, if there exists 6 integers (between 1 and 10) in set S, then there will exist two subsets A and B, which the sum of A is equal to the sum of B.

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