Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 7 - Functions - Exercise Set 7.1 - Page 394: 4

Answer

Finding all possible functions between X and Y is the same as finding all possible combinations between X and Y.

Work Step by Step

The number of combinations can be found using this formula: Let a be the number of elements in X and let b be the number of elements in Y. &number of combinations = b^{a}& So for part (a) we have &2^{2}& which is 4 combinations, part (b) we have &1^{3}& which is 1 combination and then finally part (c) we have &2^{3}& which is 8 combinations.
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