Mathematics: A Discrete Introduction
3rd Edition
ISBN: 9780840049421
Author: Edward A. Scheinerman
Publisher: Cengage Learning
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Chapter 3.14, Problem 14.3E
(a)
To determine
Whether the relation is reflexive, irreflexive, symmetric, antisymmetric or transitive.
(b)
To determine
Whether the relation is reflexive, irreflexive, symmetric, antisymmetric or transitive.
(c)
To determine
Whether the relation is reflexive, irreflexive, symmetric, antisymmetric or transitive.
(d)
To determine
Whether the relation is reflexive, irreflexive, symmetric, antisymmetric or transitive.
(e)
To determine
Whether the relation is reflexive, irreflexive, symmetric, antisymmetric or transitive.
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Chapter 3 Solutions
Mathematics: A Discrete Introduction
Ch. 3.14 - Write the following relations on the set 1,2,3,4,5...Ch. 3.14 - Prob. 14.2ECh. 3.14 - Prob. 14.3ECh. 3.14 - For each of the following relations on the set of...Ch. 3.14 - Prob. 14.5ECh. 3.14 - Prob. 14.6ECh. 3.14 - Prob. 14.7ECh. 3.14 - Prob. 14.8ECh. 3.14 - Prob. 14.9ECh. 3.14 - Prob. 14.10E
Ch. 3.14 - Prob. 14.11ECh. 3.14 - Prob. 14.12ECh. 3.14 - Prob. 14.13ECh. 3.14 - Prob. 14.14ECh. 3.14 - Prove: A relation R on a set A is antisymmetric if...Ch. 3.14 - Give an example of a relation on a set that is...Ch. 3.14 - Drawing pictures of relations. Pictures of...Ch. 3.15 - Prob. 15.1ECh. 3.15 - Prob. 15.2ECh. 3.15 - Prob. 15.3ECh. 3.15 - Prob. 15.4ECh. 3.15 - Prove: If a is an integer, then aa (mod 2).Ch. 3.15 - Prob. 15.6ECh. 3.15 - For each equivalence relation below, find the...Ch. 3.15 - Prob. 15.8ECh. 3.15 - Prob. 15.9ECh. 3.15 - Prob. 15.10ECh. 3.15 - Suppose R is an equivalence relation on a set A...Ch. 3.15 - Prob. 15.12ECh. 3.15 - Prob. 15.13ECh. 3.15 - Prob. 15.14ECh. 3.15 - Prob. 15.15ECh. 3.15 - Prob. 15.16ECh. 3.15 - Prob. 15.17ECh. 3.16 - Prob. 16.1ECh. 3.16 - How many different anagrams (including nonsensical...Ch. 3.16 - Prob. 16.3ECh. 3.16 - Prob. 16.4ECh. 3.16 - Prob. 16.5ECh. 3.16 - Prob. 16.6ECh. 3.16 - Prob. 16.7ECh. 3.16 - Prob. 16.8ECh. 3.16 - Prob. 16.9ECh. 3.16 - Prob. 16.10ECh. 3.16 - Prob. 16.11ECh. 3.16 - Prob. 16.12ECh. 3.16 - Prob. 16.13ECh. 3.16 - Prob. 16.14ECh. 3.16 - How many partitions, with exactly two parts, can...Ch. 3.16 - Prob. 16.16ECh. 3.16 - Prob. 16.17ECh. 3.16 - Prob. 16.18ECh. 3.16 - Prob. 16.19ECh. 3.16 - Prob. 16.20ECh. 3.17 - Prob. 17.1ECh. 3.17 - Prob. 17.2ECh. 3.17 - Prob. 17.3ECh. 3.17 - Prob. 17.4ECh. 3.17 - Prob. 17.5ECh. 3.17 - Prob. 17.6ECh. 3.17 - Prob. 17.7ECh. 3.17 - Prob. 17.8ECh. 3.17 - Prob. 17.9ECh. 3.17 - Prob. 17.10ECh. 3.17 - Prob. 17.11ECh. 3.17 - Prob. 17.12ECh. 3.17 - Prob. 17.13ECh. 3.17 - Prob. 17.14ECh. 3.17 - Prob. 17.15ECh. 3.17 - Consider the following formula: kkn=nk1n1. Give...Ch. 3.17 - Prob. 17.17ECh. 3.17 - Prob. 17.18ECh. 3.17 - Prob. 17.19ECh. 3.17 - Prob. 17.20ECh. 3.17 - Prob. 17.21ECh. 3.17 - Prob. 17.22ECh. 3.17 - Prob. 17.23ECh. 3.17 - Prob. 17.24ECh. 3.17 - Prob. 17.25ECh. 3.17 - Prove: 0nnn+1nn1n+2nn2n++n1n1n+nn0n=n2n.Ch. 3.17 - How many Social Security numbers (see Exercise...Ch. 3.17 - Prob. 17.28ECh. 3.17 - Prob. 17.29ECh. 3.17 - Prob. 17.30ECh. 3.17 - Prob. 17.31ECh. 3.17 - Prob. 17.32ECh. 3.17 - Prob. 17.33ECh. 3.17 - Prob. 17.34ECh. 3.17 - Prob. 17.35ECh. 3.17 - Prob. 17.36ECh. 3.17 - Prob. 17.37ECh. 3.18 - Prob. 18.1ECh. 3.18 - Prob. 18.2ECh. 3.18 - Prob. 18.3ECh. 3.18 - Prob. 18.4ECh. 3.18 - Prob. 18.5ECh. 3.18 - Prob. 18.6ECh. 3.18 - Prob. 18.7ECh. 3.18 - Prob. 18.8ECh. 3.18 - Prob. 18.9ECh. 3.18 - Prob. 18.10ECh. 3.18 - Prob. 18.11ECh. 3.18 - Prob. 18.12ECh. 3.18 - Prob. 18.13ECh. 3.18 - Prob. 18.14ECh. 3.18 - Prob. 18.15ECh. 3.18 - Prob. 18.16ECh. 3.18 - Prob. 18.17ECh. 3.18 - Prob. 18.18ECh. 3.18 - Prob. 18.19ECh. 3.19 - Prob. 19.1ECh. 3.19 - Prob. 19.2ECh. 3.19 - Prob. 19.3ECh. 3.19 - Prob. 19.4ECh. 3.19 - How many five-letter words can you make in which...Ch. 3.19 - This problem asks you to give two proofs for...Ch. 3.19 - Prob. 19.7ECh. 3.19 - Prob. 19.8ECh. 3.19 - Prob. 19.9ECh. 3.19 - Prob. 19.10ECh. 3.19 - Prob. 19.11ECh. 3.19 - Prob. 19.12ECh. 3 - Prob. 1STCh. 3 - Prob. 2STCh. 3 - Prob. 3STCh. 3 - Prob. 4STCh. 3 - Prob. 5STCh. 3 - Prob. 6STCh. 3 - Prob. 7STCh. 3 - Prob. 8STCh. 3 - Prob. 9STCh. 3 - Prob. 10STCh. 3 - Prob. 11STCh. 3 - Prob. 12STCh. 3 - Prob. 13STCh. 3 - Prob. 14STCh. 3 - Prob. 15STCh. 3 - Prob. 16STCh. 3 - Prob. 17STCh. 3 - Prob. 18STCh. 3 - Prob. 19STCh. 3 - Prob. 20STCh. 3 - Prob. 21STCh. 3 - Prob. 22ST
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