Problem 2.4 Let A and B be two sets with a finite number of elements. Show that the number of elements in AnB plus the number of elements in AU B is equal to the number of elements in A plus the number of elements in B. Problem 2.5 Show that if A and Bn (n= 1,2,3,.) are events, then An (UBn) = u (AN Bn) %3D 3D1 n=1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem 2.4
Let A and B be two sets with a finite number of elements. Show that the number of elements
in AnB plus the number of elements in AUB is equal to the number of elements in A plus
the number of elements in B.
Problem 2.5
Show that if A and Bn (n = 1,2,3, ...) are events, then
An (U Bn) = u (An Bn)
2=1
Transcribed Image Text:Problem 2.4 Let A and B be two sets with a finite number of elements. Show that the number of elements in AnB plus the number of elements in AUB is equal to the number of elements in A plus the number of elements in B. Problem 2.5 Show that if A and Bn (n = 1,2,3, ...) are events, then An (U Bn) = u (An Bn) 2=1
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