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: 37

Answer

$m^n$ elements

Work Step by Step

The Cartesian product $A^n$ means A x A x A x A... n times. And we know that when A has m elements, A x A would have $m x m = m^2$ elements. So A x A x A x A .... n times would have $ m x m x m x m ....$ n times $= m^n$ .
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