5. If A, B, C are finite sets and |A| denotes the number of elements in A, show that |A ∪ B ∪ C| = |A|+|B|+|C|–|A ∩ B|–|B ∩ C|–|C ∩ A|+|A ∩ B ∩ C| . Draw a Venn diagram
5. If A, B, C are finite sets and |A| denotes the number of elements in A, show that |A ∪ B ∪ C| = |A|+|B|+|C|–|A ∩ B|–|B ∩ C|–|C ∩ A|+|A ∩ B ∩ C| . Draw a Venn diagram
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.1: Sets And Geometry
Problem 20E: What relationship subset, intersect, disjoint, or equivalent can be used to characterize the two...
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5. If A, B, C are finite sets and |A| denotes the number of elements in A, show that |A ∪ B ∪ C| = |A|+|B|+|C|–|A ∩ B|–|B ∩ C|–|C ∩ A|+|A ∩ B ∩ C| . Draw a Venn diagram.
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