   Chapter 9.6, Problem 17ES ### 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
6 views

# a. A store sells 8 colors of balloons with at least 30 of each color. How many different combinations of 30 balloons can be chosen? b. If the store has only 12 red balloon, how many combinations of balloons can be chosen? c. If the store has only 8 blue balloons but at least 30 of each other color of balloon, how many combinations of balloons can be chosen? d. If the store has only 12 red balloons and only 8 blue balloons but at least 30 of each other color of balloon, how many combinations of balloons can be chosen?

To determine

(a)

To find:

The number of different ways that the 30 balloons can be chosen.

When there are 8 kinds of colors.

Explanation

Given information:

Given 8 different types of color and to select at least 30 balloons

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)!

To determine

(b)

To find:

The number of different ways that the 30 balloons can be chosen.

When having 12 red balloons among the 8 colors.

To determine

(c)

To find:

The number of different ways that the  30 balloons can be chosen.

When having 8 blue balloons among the 8 colors.

To determine

(d)

To find:the number of different ways that 30 balloons can be chosen.

When having 8 blue balloons and 12 red balloon among the 8 colors.

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