The power set P(A) of a set A is the set containing all subsets of A, including itself. Consider the following sets P({a,b,c}) {Ø,{a},{b},{a,b},{c}} = {Ø, {b},{c},{b,c},{a}} U = A = B = How large is the power set of: а. AUB b. AnB с. А— В d. A°

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.1: Definition Of A Group
Problem 43E: Write out the elements of P(A) for the set A={ a,b,c }, and construct an addition table for P(A)...
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The power set P(A) of a set A is the set containing all subsets of A, including itself.
Consider the following sets
U = P({a,b,c})
A = {0,{a},{b},{a,b},{c}}
B = {Ø, {b},{c},{b,c},{a}}
How large is the power set of:
а. AUB
b. AnB
с. А— В
d. A°
Transcribed Image Text:The power set P(A) of a set A is the set containing all subsets of A, including itself. Consider the following sets U = P({a,b,c}) A = {0,{a},{b},{a,b},{c}} B = {Ø, {b},{c},{b,c},{a}} How large is the power set of: а. AUB b. AnB с. А— В d. A°
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