   Chapter 9.6, Problem 1ES ### 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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# (a) According to Theorem 9.6.1, how many 5-combinations with repetition allowed can be chosen from a set of three elements? (b) List all of the 5-combinations that can be chosen with repetition allowed from the set {1,2,3}.

To determine

(a)

To find how many 5 combinations with repetition allowed can be chosen from a set of thee elements.

Explanation

Given information:

5combinaton.

Concept used:

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

(r+n1r).

Calculation:

Now, we have to find the 5 combinations from a set of 3 elements, when repetitions is allowed from the formula (r+n1r). We have (5+315) ways

To determine

(b)

To list the 5 combinations that can be chosen with repetition allowed from {1,2,3}.

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