If n + 1 integers are chosen from the set{1, 2, 3,..., 2n},where n is a positive integer, must at least one of them be even?To answer this question, let S = {1, 2, 3,..., 2n}, where n is a positive integer, and note that in S there are exactlyfor at least one of the elements of T to be even. Thus, the answer to this question is YesnecessaryXodd integers. Since n + 1 is greater thanthe number of odd integers in T, it is

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If n + 1 integers are chosen from the set (1, 2, 3,..., 2n). where n is a positive integer, must at least one of them be even? To answer this question, let S = (1, 2, 3, necessary ✓ ✓ for at least one of the 2n), where n is a positive integer, and note that in S there are exactly elements of 7 to be even. Thus, the answer to this question is Yes v x odd integers. Since n + 1 is greater than the number of odd integers in T, it is

If n + 1 integers are chosen from the set (1, 2, 3,..., 2n). where n is a positive integer, must at least one of them be even? To answer this question, let S = (1, 2, 3, necessary ✓ ✓ for at least one of the 2n), where n is a positive integer, and note that in S there are exactly elements of 7 to be even. Thus, the answer to this question is Yes v x odd integers. Since n + 1 is greater than the number of odd integers in T, it is

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.4: Binary Operations

Problem 9E: 9. The definition of an even integer was stated in Section 1.2. Prove or disprove that the set of...

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