### Understanding Relations in Discrete Mathematics#### Problem Statement:Define two sets:- A letter set \( A = \{t, p, c\} \)- A word set \( B = \{proposition, math, proof, discrete\} \)Define the relation \( R \subseteq A \times B \) such that \((letter, word)\) is in the relation if that letter occurs somewhere in the word.Choose the correct relation \( R \).#### Multiple Choice Options:- \( R = \{ (t, \text{proposition}), (t, \text{proof}), (p, \text{proposition}), (p, \text{proof}), (c, \text{math}), (c, \text{proof}) \} \)- \( R = \{ (t, \text{math}), (p, \text{proposition}), (p, \text{math}), (p, \text{proof}), (c, \text{math}), (c, \text{proof}) \} \)- \( R = \{ (t, \text{proposition}), (t, \text{math}), (t, \text{discrete}), (p, \text{proposition}), (p, \text{proof}), (c, \text{discrete}) \} \)- \( R = \{ (t, \text{discrete}), (p, \text{proposition}), (p, \text{math}), (p, \text{proof}), (c, \text{math}), (c, \text{discrete}) \} \)### Explanation:To determine the correct relation \( R \), we need to identify all the pairs \((letter, word)\) where the letter occurs in the word.#### Analysis of Words:- "proposition": Contains the letters \(p\) and \(t\) (we note that it does not contain \(c\)).- "math": Contains the letters \(t\) (it does not contain \(p\) or \(c\)).- "proof": Contains the letters \(p\) (does not contain \(t\) or \(c\)).- "discrete": Contains the letters \(t\) and \(c\) (does not contain \(p\)).#### Construction of Relation \( R \):Considering each letter

Answered: Image /qna-images/answer/02be10da-8b01-47f9-aef5-09ca29483637.jpg

Define two sets: a letter set A = {t. p. c) and a word set B = {proposition, math, proof, discrete). Define the relation RCA x B such that (letter, word) is in the relation if that letter occurs somewhere in the word. Choose the correct relation R. OR = {(t. proposition), (t, proof), (p. proposition). (p. proof), (c, math), (c, proof)} OR= {(t, math), (p. proposition), (p, math), (p. proof), (c, math), (c, proof)} OR = {(t, proposition), (t, math), (t, discrete). (p. proposition). (p. proof), (c, discrete)} OR = {(t, discrete), (p. proposition), (p, math), (p. proof), (c, math). (c, discrete)}

Define two sets: a letter set A = {t. p. c) and a word set B = {proposition, math, proof, discrete). Define the relation RCA x B such that (letter, word) is in the relation if that letter occurs somewhere in the word. Choose the correct relation R. OR = {(t. proposition), (t, proof), (p. proposition). (p. proof), (c, math), (c, proof)} OR= {(t, math), (p. proposition), (p, math), (p. proof), (c, math), (c, proof)} OR = {(t, proposition), (t, math), (t, discrete). (p. proposition). (p. proof), (c, discrete)} OR = {(t, discrete), (p. proposition), (p, math), (p. proof), (c, math). (c, discrete)}

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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