Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 2 - Section 2.1 - Sets - Exercises - Page 126: 40

Answer

See the solution.

Work Step by Step

We know two sets are equal if and only if they have the same elements. But $(A\times B) \times (C \times D)$ is a set of ordered pairs and $A\times (B \times C) \times D$ is a set of ordered triples. Hence these two sets are not equal.
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