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Question

If X and Y are two sets and X denotes the complement of X, then
X(XY) is equal to 


  1. ϕ

  2. X

  3. Y

  4. XY


Solution

The correct option is A

ϕ


X(XY)=X(XY)            [(AB)=AB]=(XX)Y=ϕY=ϕ                           [ϕA=ϕ]

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