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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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)

Cristiano Sears · Accepted Answer

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

U= the set of natural numbers between 10 and 20 A= Even Numbers B= Multiples...

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