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Question

If A = {1, 3, 5, 7, 9, 11, 13, 15, 17}, B ={2, 4, ......, 18} and N, the set of natural numbers is the universal set, then (A[(AB)B]) is


A

ϕ

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B

N

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C

A

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D

B

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Solution

The correct option is B

N


A[(AB)B]=A[(AB)(BB)]=A[(AB)ϕ]=A(AB)=(AA)(AB)=N(AB)=(AB)=ϕ=N


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