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Math
Discrete Mathematics With Applications5th Edition

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Chapter 9.5, Problem 4TY
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Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

Solutions

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Section
Problem 1TY
Problem 2TY
Problem 3TY
Problem 4TY
Problem 5TY
Problem 1ES
Problem 2ES
Problem 3ES
Problem 4ES
Problem 5ES
Problem 6ES
Problem 7ES
Problem 8ES
Problem 9ES
Problem 10ES
Problem 11ES
Problem 12ES
Problem 13ES
Problem 14ES
Problem 15ES
Problem 16ES
Problem 17ES
Problem 18ES
Problem 19ES
Problem 20ES
Problem 21ES
Problem 22ES
Problem 23ES
Problem 24ES
Problem 25ES
Problem 26ES
Problem 27ES
Problem 28ES
Problem 29ES
Problem 30ES
BuyFindarrow_forward

Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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A formula relating ??? and ???is______

To determine

To fill in the blank in the statement, “ A formula relating (nr) and P(n,r) is _____.”

Explanation

Given information:

The statement is given as “A formula relating (nr) and P(n,r) is _____.”

Formula used:

The number of ways to select r number of ordered elements from a set of n number of elements is given by P(n,r)=n!(n−r)!

If the number of elements in a set is n and the subsets formed from the set are with r elements.

The number of ways to select r elements from n number of elements is given by n!(n−r)!

Also, by the notation (nr) we denote the number of r− combinations from a set of n elements.

To calculate the number of r− combinations, first we should know how many ways there are to select r elements from n elements. Then we consider the order of a selected elements.

In a set of r elements, there are r! of different arrangements within the elements. But for a combination, we do not care about the order and we consider all these arrangements as one combination.

Hence, we have to divide the number of selections by the number of arrangements to obtain the total number of r− combinations

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Chapter 9 Solutions

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Sect-9.1 P-1TYSect-9.1 P-2TYSect-9.1 P-3TYSect-9.1 P-4TYSect-9.1 P-1ESSect-9.1 P-2ESSect-9.1 P-3ESSect-9.1 P-4ESSect-9.1 P-5ESSect-9.1 P-6ES
Sect-9.1 P-7ESSect-9.1 P-8ESSect-9.1 P-9ESSect-9.1 P-10ESSect-9.1 P-11ESSect-9.1 P-12ESSect-9.1 P-13ESSect-9.1 P-14ESSect-9.1 P-15ESSect-9.1 P-16ESSect-9.1 P-17ESSect-9.1 P-18ESSect-9.1 P-19ESSect-9.1 P-20ESSect-9.1 P-21ESSect-9.1 P-22ESSect-9.1 P-23ESSect-9.1 P-24ESSect-9.1 P-25ESSect-9.1 P-26ESSect-9.1 P-27ESSect-9.1 P-28ESSect-9.1 P-29ESSect-9.1 P-30ESSect-9.1 P-31ESSect-9.1 P-32ESSect-9.1 P-33ESSect-9.2 P-1TYSect-9.2 P-2TYSect-9.2 P-3TYSect-9.2 P-4TYSect-9.2 P-5TYSect-9.2 P-6TYSect-9.2 P-1ESSect-9.2 P-2ESSect-9.2 P-3ESSect-9.2 P-4ESSect-9.2 P-5ESSect-9.2 P-6ESSect-9.2 P-7ESSect-9.2 P-8ESSect-9.2 P-9ESSect-9.2 P-10ESSect-9.2 P-11ESSect-9.2 P-12ESSect-9.2 P-13ESSect-9.2 P-14ESSect-9.2 P-15ESSect-9.2 P-16ESSect-9.2 P-17ESSect-9.2 P-18ESSect-9.2 P-19ESSect-9.2 P-20ESSect-9.2 P-21ESSect-9.2 P-22ESSect-9.2 P-23ESSect-9.2 P-24ESSect-9.2 P-25ESSect-9.2 P-26ESSect-9.2 P-27ESSect-9.2 P-28ESSect-9.2 P-29ESSect-9.2 P-30ESSect-9.2 P-31ESSect-9.2 P-32ESSect-9.2 P-33ESSect-9.2 P-34ESSect-9.2 P-35ESSect-9.2 P-36ESSect-9.2 P-37ESSect-9.2 P-38ESSect-9.2 P-39ESSect-9.2 P-40ESSect-9.2 P-41ESSect-9.2 P-42ESSect-9.2 P-43ESSect-9.2 P-44ESSect-9.2 P-45ESSect-9.2 P-46ESSect-9.2 P-47ESSect-9.3 P-1TYSect-9.3 P-2TYSect-9.3 P-3TYSect-9.3 P-4TYSect-9.3 P-5TYSect-9.3 P-1ESSect-9.3 P-2ESSect-9.3 P-3ESSect-9.3 P-4ESSect-9.3 P-5ESSect-9.3 P-6ESSect-9.3 P-7ESSect-9.3 P-8ESSect-9.3 P-9ESSect-9.3 P-10ESSect-9.3 P-11ESSect-9.3 P-12ESSect-9.3 P-13ESSect-9.3 P-14ESSect-9.3 P-15ESSect-9.3 P-16ESSect-9.3 P-17ESSect-9.3 P-18ESSect-9.3 P-19ESSect-9.3 P-20ESSect-9.3 P-21ESSect-9.3 P-22ESSect-9.3 P-23ESSect-9.3 P-24ESSect-9.3 P-25ESSect-9.3 P-26ESSect-9.3 P-27ESSect-9.3 P-28ESSect-9.3 P-29ESSect-9.3 P-30ESSect-9.3 P-31ESSect-9.3 P-32ESSect-9.3 P-33ESSect-9.3 P-34ESSect-9.3 P-35ESSect-9.3 P-36ESSect-9.3 P-37ESSect-9.3 P-38ESSect-9.3 P-39ESSect-9.3 P-40ESSect-9.3 P-41ESSect-9.3 P-42ESSect-9.3 P-43ESSect-9.3 P-44ESSect-9.3 P-45ESSect-9.3 P-46ESSect-9.3 P-47ESSect-9.3 P-48ESSect-9.3 P-49ESSect-9.4 P-1TYSect-9.4 P-2TYSect-9.4 P-3TYSect-9.4 P-3ESSect-9.4 P-4ESSect-9.4 P-5ESSect-9.4 P-6ESSect-9.4 P-7ESSect-9.4 P-8ESSect-9.4 P-9ESSect-9.4 P-10ESSect-9.4 P-11ESSect-9.4 P-12ESSect-9.4 P-13ESSect-9.4 P-14ESSect-9.4 P-15ESSect-9.4 P-16ESSect-9.4 P-17ESSect-9.4 P-18ESSect-9.4 P-19ESSect-9.4 P-20ESSect-9.4 P-21ESSect-9.4 P-22ESSect-9.4 P-23ESSect-9.4 P-24ESSect-9.4 P-25ESSect-9.4 P-26ESSect-9.4 P-27ESSect-9.4 P-28ESSect-9.4 P-29ESSect-9.4 P-30ESSect-9.4 P-31ESSect-9.4 P-32ESSect-9.4 P-33ESSect-9.4 P-34ESSect-9.4 P-35ESSect-9.4 P-36ESSect-9.4 P-37ESSect-9.4 P-38ESSect-9.4 P-39ESSect-9.4 P-40ESSect-9.5 P-1TYSect-9.5 P-2TYSect-9.5 P-3TYSect-9.5 P-4TYSect-9.5 P-5TYSect-9.5 P-1ESSect-9.5 P-2ESSect-9.5 P-3ESSect-9.5 P-4ESSect-9.5 P-5ESSect-9.5 P-6ESSect-9.5 P-7ESSect-9.5 P-8ESSect-9.5 P-9ESSect-9.5 P-10ESSect-9.5 P-11ESSect-9.5 P-12ESSect-9.5 P-13ESSect-9.5 P-14ESSect-9.5 P-15ESSect-9.5 P-16ESSect-9.5 P-17ESSect-9.5 P-18ESSect-9.5 P-19ESSect-9.5 P-20ESSect-9.5 P-21ESSect-9.5 P-22ESSect-9.5 P-23ESSect-9.5 P-24ESSect-9.5 P-25ESSect-9.5 P-26ESSect-9.5 P-27ESSect-9.5 P-28ESSect-9.5 P-29ESSect-9.5 P-30ESSect-9.6 P-1TYSect-9.6 P-2TYSect-9.6 P-3TYSect-9.6 P-1ESSect-9.6 P-2ESSect-9.6 P-3ESSect-9.6 P-4ESSect-9.6 P-5ESSect-9.6 P-6ESSect-9.6 P-7ESSect-9.6 P-8ESSect-9.6 P-9ESSect-9.6 P-10ESSect-9.6 P-11ESSect-9.6 P-12ESSect-9.6 P-13ESSect-9.6 P-14ESSect-9.6 P-15ESSect-9.6 P-16ESSect-9.6 P-17ESSect-9.6 P-18ESSect-9.6 P-19ESSect-9.6 P-20ESSect-9.6 P-21ESSect-9.7 P-1TYSect-9.7 P-2TYSect-9.7 P-3TYSect-9.7 P-4TYSect-9.7 P-5TYSect-9.7 P-6TYSect-9.7 P-7TYSect-9.7 P-1ESSect-9.7 P-2ESSect-9.7 P-3ESSect-9.7 P-4ESSect-9.7 P-5ESSect-9.7 P-6ESSect-9.7 P-7ESSect-9.7 P-8ESSect-9.7 P-9ESSect-9.7 P-10ESSect-9.7 P-11ESSect-9.7 P-12ESSect-9.7 P-13ESSect-9.7 P-14ESSect-9.7 P-15ESSect-9.7 P-16ESSect-9.7 P-17ESSect-9.7 P-18ESSect-9.7 P-19ESSect-9.7 P-20ESSect-9.7 P-21ESSect-9.7 P-22ESSect-9.7 P-23ESSect-9.7 P-24ESSect-9.7 P-25ESSect-9.7 P-26ESSect-9.7 P-27ESSect-9.7 P-28ESSect-9.7 P-29ESSect-9.7 P-30ESSect-9.7 P-31ESSect-9.7 P-32ESSect-9.7 P-33ESSect-9.7 P-34ESSect-9.7 P-35ESSect-9.7 P-36ESSect-9.7 P-37ESSect-9.7 P-38ESSect-9.7 P-39ESSect-9.7 P-40ESSect-9.7 P-41ESSect-9.7 P-42ESSect-9.7 P-43ESSect-9.7 P-44ESSect-9.7 P-45ESSect-9.7 P-46ESSect-9.7 P-47ESSect-9.7 P-48ESSect-9.7 P-49ESSect-9.7 P-50ESSect-9.7 P-51ESSect-9.7 P-52ESSect-9.7 P-53ESSect-9.7 P-54ESSect-9.7 P-55ESSect-9.8 P-1TYSect-9.8 P-2TYSect-9.8 P-3TYSect-9.8 P-4TYSect-9.8 P-5TYSect-9.8 P-1ESSect-9.8 P-2ESSect-9.8 P-3ESSect-9.8 P-4ESSect-9.8 P-5ESSect-9.8 P-6ESSect-9.8 P-7ESSect-9.8 P-8ESSect-9.8 P-9ESSect-9.8 P-10ESSect-9.8 P-11ESSect-9.8 P-12ESSect-9.8 P-13ESSect-9.8 P-14ESSect-9.8 P-15ESSect-9.8 P-16ESSect-9.8 P-17ESSect-9.8 P-18ESSect-9.8 P-19ESSect-9.8 P-20ESSect-9.8 P-21ESSect-9.8 P-22ESSect-9.8 P-23ESSect-9.9 P-1TYSect-9.9 P-2TYSect-9.9 P-3TYSect-9.9 P-4TYSect-9.9 P-1ESSect-9.9 P-2ESSect-9.9 P-3ESSect-9.9 P-4ESSect-9.9 P-5ESSect-9.9 P-6ESSect-9.9 P-7ESSect-9.9 P-8ESSect-9.9 P-9ESSect-9.9 P-10ESSect-9.9 P-11ESSect-9.9 P-12ESSect-9.9 P-13ESSect-9.9 P-14ESSect-9.9 P-15ESSect-9.9 P-16ESSect-9.9 P-17ESSect-9.9 P-18ESSect-9.9 P-19ESSect-9.9 P-20ESSect-9.9 P-21ESSect-9.9 P-22ESSect-9.9 P-23ESSect-9.9 P-24ESSect-9.9 P-25ESSect-9.9 P-26ESSect-9.9 P-27ESSect-9.9 P-28ESSect-9.9 P-29ESSect-9.9 P-30ESSect-9.9 P-31ESSect-9.9 P-32ESSect-9.9 P-33ESSect-9.9 P-34ES
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