U= the set of natural numbers between 10 and 20 A= Even Numbers B= Multiples of 3 where the number is less than 18. C= Composite numbers Find n((AUB) \cap C)

Wierzycaz 2021-07-31 Answered
U= the set of natural numbers between 10 and 20
A= Even Numbers
B= Multiples of 3 where the number is less than 18.
C= Composite numbers
Find n((AUB)C)
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Expert Answer

Cristiano Sears
Answered 2021-08-01 Author has 96 answers
Given that,
U={10,11,12,13,14,15,16,17,18,19,20}
A={10,12,14,16,18,20}
B={12,15}
C={10,12,14,15,16,18,20}
Now, (AUB)={10,12,14,16,18,20}U{12,15}
(AUB)={10,12,14,15,16,18,20}
(AUB)C={10,12,14,15,16,18,20}{10,12,14,15,16,18,20}
(AUB)C={10,12,14,15,16,18,20}
n((AUB)C)=7
Hence,n((AUB)C)=7
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