   Chapter 9.6, Problem 16ES ### 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
8 views

# Consider the situation in Example 9.6.2. a. Suppose the store has only six cans of lemonade but at leant 15 can of each of the other four types of soft drink. In how many dif- ferent ways can fifteen cans, of soft drink be selected? b. Suppose that the store has only five cans of root beer and only six cans of lemonade but at least 15 cans of each of the other three types of soft drink. In how mam different ways can fifteen cans of soft drink be selected?

To determine

(a)

To find:

The number of different ways that the 15 cans can be chosen.

Explanation

Given information:

Given 5 different types and to select 15 cans when six are already lemonade.

Formula Used:

When there are certain number of elements n need to be selected

from the given number of different kinds k

( n+k1n)=(n+k1)!n!(k1)!

Calculation:

To select the six cans of lemonade =6! =6*5*4*3*2*1= 720

Then to select the balance 9 cans from the four type

To determine

(b)

To find:

The number of different ways that the 15 cans can be chosen.

When having six cans of lemonade and five cans of root beer.

### 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 