   Chapter 9.6, Problem 12ES ### 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
4 views

# In 10-14, find how many solutions there are to the given equation that satisfy the given condition. y 1 + y 2 + y 3 + y 4 = 30 , each is a nonnegative integer.

To determine

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

y1+y2+y3+y4=30, each yi is a nonnegative integer.

Explanation

Given information:

y1+y2+y3+y4=30, each yi is a nonnegative integer.

Concept used:

The number of r combinations with repetition allowed that can be selected from a set of n elements is:

(r+n1n1)

Calculation:

We have to rind the number of solutions of

y1+y2+y3+y4=30 Where yi0.

Assume that the number 30 is divided into thirty individual units, and the variables y1,y2,y3,y4 are four categories into which these units are placed. The number of units in each category yi indicates that the value of yi is a solution of the equation

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 