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B
(B∪A)∪C
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C
A∪(C∪B)
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D
(A∪C)∪B
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Solution
The correct option is D(A∪C)∪B Given three sets A,B&C
Now, by associative law: A∪(B∪C)=(A∪B)∪C
Now, by commutative law: A∪(B∪C)=(A∪B)∪C=(B∪A)∪C
Also, by commutative law: A∪(B∪C)=A∪(C∪B)
And using associative law: A∪(B∪C)=A∪(C∪B)=(A∪C)∪B