Let A be the set {1,3,5,7,9} and B be the set {1,2,4,8} . Find the integer value |AxB| Example 2.1.2: Two Cartesian ProductsIf A = {1,3,5,7} and B = {2,3,5}, then%3DA x B = {(1,2), (1,3), (1,5), (3,2), (3,3), (3,5), (5,2), (5,3), (5,5), (7,2), (7,3), (7,5)}andВХА—= {(2,1), (2,3), (2,5), (2,7), (3,1), (3,3), (3,5), (3,7), (5,1), (5,3), (5,5), (5,7)}.// (A × B) N (B × A) = {(3,3), (3,5), (5,3), (5,5)}, so A × B# B × A.In this example, both | A x B |12 and | В x А|12. For any object z,{z} × B = {(z,2), (z, 3), (z, 5)} and so |{z} × B| = |B|.2.1Naïve Set Theory51Since S1 = {1} ×x B, S2= {3} × B, S3 = {5} × B, and S4 = {7} × B form a partitionof A x B,%3D|A x B| = |{1} × B|+|{3} × B| +|{5} × B|+|{7} × B| = \B|+ \B|+ \B|+ \B|= |A| x |B|This formula applies in general, for all sets A and B// even when A = B?|A x B| = |A| x |B|// which equals |B| × |A| = |B × A||This product rule for counting is often given without reference to a Cartesianproduct of sets asif a first thing can be done in p different ways, and (no matter how it was done)a second thing can be done in q different ways, thenthe two things can be done (together) in p × q different ways.

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Answered: Let A be the set {1,3,5,7,9} and B be…

Engineering

Computer Science

Let A be the set {1,3,5,7,9} and B be the set {1,2,4,8} . Find the integer value |AxB|

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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