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Suppose that f is a function from A to B where A and B are

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 14E Chapter 2.SE

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 14E

Suppose that f is a function from A to B where A and B are finite sets. Explain why | f(S )| ? | S | for all subsets S of A.

Step-by-Step Solution:

SolutionStep 1Proof by ContradictionLet us assume that S be a subset of A.By Contradiction, |f[S]| > |S|Now we have to define a function x : f(S) S by x(b) = some a belong to x like that f(a) = b.Pigeonhole PrincipleIf A and B are finite sets then |A| > |B|...

Step 2 of 3

Chapter 2.SE, Problem 14E is Solved
Step 3 of 3

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This full solution covers the following key subjects: explain, Finite, function, Sets, Subsets. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The answer to “Suppose that f is a function from A to B where A and B are finite sets. Explain why | f(S )| ? | S | for all subsets S of A.” is broken down into a number of easy to follow steps, and 32 words. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. Since the solution to 14E from 2.SE chapter was answered, more than 297 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 14E from chapter: 2.SE was answered by , our top Math solution expert on 06/21/17, 07:45AM.

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