   Chapter 6.3, Problem 20ES ### 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
1 views

# For each of 5-21 prove each statement that is true and find a counterexample for each statement that is false. Assume all sets are subsets of a universal set U.For all sets A and B, P ( A ∩ B ) = P ( A ) ∩ P ( B ) .

To determine

To Prove:

For each prove each statement that is true and find a counterexample for each statement that is false. Assume all sets are subsets of a universal set .

For all sets A and B,P(AB)=P(A)P(B)

Explanation

Given information:

Let  A and B  be any set

Concept used:

:Union of sets:Intersection of sets

: subset of set

Calculation:

Let A and B be subsets of a universal set U.

The objective is to prove whether the following statement is true or not else provide a counter example.

For all sets A and B.

P(AB)=P(A)P(B)

Let xP(AB)

By the definition of power set

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