   Chapter 9.6, Problem 10ES ### 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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# In 10-14, find how many solutions there are to the given equation that satisfy the given condition. x 1 + x 2 + x 3 = 20 , each x i is a nonegatiove integer.

To determine

To find the number of solutions to the given equation that satisfy the given condition:

x1+x2+x3=20, each xi is a nonnegative integers.

Explanation

Given information:

x1+x2+x3=20, each xi is a nonnegative integers.

Concept used:

Assume that the number 20 is divided into twenty individual units, and the variables x1,x2,x3 are the three categofles into which these units are placed. The number of units in each category xi indicates the value of xi in a solution of the equation.

Calculation:

Each solution can be represented by a string of two vertical bars (to separate the three categories) and 20 crosses (to represent the twenty individual units)

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