Let A, B be sets with |A| = m n = |B|, and let a(m, n)

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Let A, B be sets with |A| = m ‰¥ n = |B|, and let a(m, n) count the number of onto functions from A to B. Show that
a(m, 1) = 1

when m ‰¥ n > 1.

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Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

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Question Posted: Jun 21, 2016 08:44 AM

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Let A, B be sets with |A| = m n = |B|, and let a(m, n)

Question:

Il a(m, n) = nm

Step by Step Answer:

Let B n 1 and A m Then f A B where fa b for all a A and b B is the only o...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

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