Set A contains 5 elements, Set B contains 10 elements, and 4 elements are common to both A and B. How many elements are in AUB?
Set A contains 5 elements, Set B contains 10 elements, and 4 elements are common to both A and B. How many elements are in AUB?
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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Set A contains 5 elements, Set B contains 10 elements, and 4 elements are common to both A and B. How many elements are in AUB?
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Step 1
The cardinality of a set is the number of elements in the set. Consider two sets A and B. Then the intersection of these sets will contain those elements that are found in both A and B. The union of these two sets will contain all the elements in A and B without any repetition. The relation between the cardinality of union and intersection is given by the identity .
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