Let A,B,C be sets with |A| = 50, |B| = 99, and |C| = 142. Draw a Venn Diagram to represent each of the following restrictions, and determine |AUBUC. (a) AC BCC. (b) The sets are pairwise disjoint (Read the second help link if you do not know what this means). (c) Sets A and B have 8 common elements, sets A and C have 11 common elements, sets B and C have 28 common elements, and there are 3 elements common to all three sets.

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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Let A,B,C be sets with A = 50, |B| = 99, and C = 142. Draw a Venn Diagram to represent each of the
following restrictions, and determine |AU BUC.
(a) ACBCC.
(b) The sets are pairwise disjoint (Read the second help link if you do not know what this means).
(c) Sets A and B have 8 common elements, sets A and C have 11 common elements, sets B and C have 28
common elements, and there are 3 elements common to all three sets.
Transcribed Image Text:Let A,B,C be sets with A = 50, |B| = 99, and C = 142. Draw a Venn Diagram to represent each of the following restrictions, and determine |AU BUC. (a) ACBCC. (b) The sets are pairwise disjoint (Read the second help link if you do not know what this means). (c) Sets A and B have 8 common elements, sets A and C have 11 common elements, sets B and C have 28 common elements, and there are 3 elements common to all three sets.
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