Explanation Given information: It is given that the number of the sets is n. Formula used: For the number of elements in the union of many sets, If ( A i ) 1 ≤ i ≤ n are finite sets, then: | ∪ i = 1 n A i | = ∑ i = 1 n | A i | − ∑ i < j | A i ∩ A j | + ∑ i < j < k | A i ∩ A j ∩ A k | − ....... + ( − 1 ) n − 1 | A 1 ∩ ..... ∩ A n | This is the principle of inclusion-exclusion. Calculation: From the principle of inclusion-exclusion it is known that | ∪ i = 1 n A i | = ∑ i = 1 n | A i | − ∑ i < j | A i ∩ A j | + ∑ i < j < k | A i ∩ A j ∩ A k | −

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ISBN: 9781264309689

Author: ROSEN

Publisher: MCG

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Chapter 8, Problem 11CP

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The number of elements in the union of n sets by computer program.

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The number of elements in the union of n sets by computer program.

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The number of elements in the union of n sets by computer program.