Explanation Consider the provided value, n ( A ∩ B ) = 20 It represents the number of common elements in sets A and B , which are 20. The required application must have two sets which have 20 common elements. Consider the following problem, Out of 60 people there are 40 people who read newspaper A and 40 people who read newspaper B. Calculate the number of people who read both the newspapers. Consider the set of people who read newspaper A to be A . So, n ( A ) = 40 Consider the set of people who read newspaper B to be B . So, n ( B ) = 40 The people who read both the newspapers A and B are given by the intersection of the sets A and B . This is represented by A ∩ B . Thus, the number of people who read both the newspapers A and B are, n ( A ∩ B ) Apply the formula for union of sets, according to which, n ( A ∪ B ) = n ( A ) + n ( B ) − n ( A

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ISBN: 9781337291262

Author: Stefan Waner, Steven Costenoble

Publisher: Brooks Cole

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Chapter 6.2, Problem 65E

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An interesting application whose answer is n(A∩B)=20.

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An interesting application whose answer is n ( A ∩ B ) = 20 .

Solution Summary: The author explains that an interesting application whose answer is n(Acap B)=20 represents the number of common elements in sets A and B, which are 20.

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