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Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230

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BuyFindarrow_forward

Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
Textbook Problem
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In Exercises 20-22, Suppose m and n are positive integers, A is a set with m elements, and B is a set with exactly n elements.

How many mapping are there from A to B

?

To determine

The number of mappings from AtoB, If m and n are positive integer, A is a set exactly m elements, and B is a set with exactly n elements.

Explanation

A function maps every element of A to a unique element of B. Each element of A has n choices to be mapped to. Each such choice gives you a distinct function. Since each element has n choices, the total number of functions from AtoB is,

n×<

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