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Question

For any two non-empty sets A and B(AB)C(ACB) is equal to


A
AC
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B
BC
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C
ϕ
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D
AB
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Solution

The correct option is B ϕ
As we know that 
(PQ)C=PCQC
So, (AB)C(ACB)
=ACBC(BAC)=AC((BCB)AC)=AC(ϕAC)=ACϕ=ϕ

 

Mathematics

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