   Chapter 9.6, Problem 18ES ### 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 large pile of coins consists of penruey nickels, dunes, and quartets.a. How many different collections of 30 coins can be chosen if there are at least 30 of each kind of coin? b. If the pile contains only 15 quartets but at least 30 of each other kind ot coin, how many col-lections of 30 coins can be chosen? c. It the pale contains only 20 dimes but at least 30 of each other land ot coin, how many collections of 30 coins can be chosen? d. If the pile contains only 15 quartet s and only 20 dimes but al least 30 of each other kind of coin, how many collecuons of 30 coins can be chosen?

To determine

(a)

To Find:

30 coins from 4 different kinds of coins.

Explanation

Given information:

Given four different kinds of coins.

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:

30 coins from 4 different kinds of coins.

When there is 15 from quarters.

To determine

(c)

To Find:

30 coins from 4 different kinds of coins.

When there are 20 dimes.

To determine

(d)

To find:

30 coins from 4 different kinds of coins.

When there are 15 quarters and 20 dimes.

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