   Chapter 9.2, Problem 22ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# (a) How many functions are there from a set with three elements to a set with four element? (b) How many functions are there from a set with five elements to a set two elements? (c) How many functions are there from a set with m elements to a set with n elements, where m and n are positive inthegers?

To determine

(a)

To find the number of functions which are there from a set with three elements to a set with four elements.

Explanation

Given information:

Set with three elements to a set with four elements.

Concept used:

In the first step, the first element in domain can send to co-domain in four ways.

In the second step, the second element in domain can send to co-domain in four ways.

In the third step, the third element in domain can send to co-domain in four ways.

Calculation:

In the first step, the first element in domain can send to co-domain in four ways...

To determine

(b)

The function of functions which are there from a set with five elements to a set with two elements.

To determine

(c)

The number of functions which are there from a set with m elements to a set with n elements, where m and n are positive integers.

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