2. |AUBUC|=|A|+|B|+|C|-|AnB|-|AnC|-BnC|+|ANBrci 1. IAUB|=|A|+|B|-|ANBI * TAUBUCI=|A]+IBI+ICI-IAnB|-IAnc|-BnC|+|ANBNC| Union of two sets Union of three sets Union of five sets a) Find an analogous equation for |AUBUCUDUE|. b) What is the maximum number of sets that can be made into a Venn diagram? The sets need not be all circles. c) 'n an equation like the one in part a) for the union of n sets how many terms must there be on the right side of the equation?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2. |AUBUC|=|A|+|B|+|C|-|AnB|-|AnC|-BnC|+|ANBrci
1. IAUB|=|A|+|B|-|ANBI
* TAUBUCI=|A]+IBI+ICI-IAnB|-IAnc|-BnC|+|ANBNC|
Union of two sets
Union of three sets
Union of five sets
a)
Find an analogous equation for |AUBUCUDUE|.
b)
What is the maximum number of sets that can be made into a Venn diagram?
The sets need not be all circles.
c)
'n an equation like the one in part a) for the union of n sets how many terms
must there be on the right side of the equation?
Transcribed Image Text:2. |AUBUC|=|A|+|B|+|C|-|AnB|-|AnC|-BnC|+|ANBrci 1. IAUB|=|A|+|B|-|ANBI * TAUBUCI=|A]+IBI+ICI-IAnB|-IAnc|-BnC|+|ANBNC| Union of two sets Union of three sets Union of five sets a) Find an analogous equation for |AUBUCUDUE|. b) What is the maximum number of sets that can be made into a Venn diagram? The sets need not be all circles. c) 'n an equation like the one in part a) for the union of n sets how many terms must there be on the right side of the equation?
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