   Chapter 9.3, Problem 5TY ### 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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# The inclusion/exclusion rule for three sets says that if A,B, and C are any finite sets, then______.

To determine

To complete the statement, “The inclusion/exclusion rule for three sets says that if A,B and C are any finite sets, then ______.”

Explanation

Given information:

The statement was given as “The inclusion/exclusion rule for three sets says that if A,B and C are any finite sets, then ______.”

With regarding three finite sets A,B and C, following observations can be made.

Within the set A, there are four mutually disjoint sets. The set of elements that belong to only A, the elements that belong to only A and B, the elements that belong to only A and C and the elements that belong to all three sets A, B and C.

As well as in the set A, there are four mutually disjoint sets in each two sets B and C.

Hence, to find N(ABC), firstly we consider the summation of the number of elements in all three sets, N(A),N(B) and N(C). With this summation we have added N(AB), N(AC) and N(BC) in two times and N(ABC) three times

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