If X,Y and Z are any three non empty sets such that any two of them are disjoint then $(X \cup Y \cup Z) \cap (X \cap Y \cap Z)$ IS______

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ϕ

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Solution

The correct option is D $ϕ$
When three sets are disjoint sets, their intersection is $= ϕ$
So, $(X \cup Y \cup Z) \cap (X \cap Y \cap Z) = (X \cup Y \cup Z) \cap ϕ = ϕ$

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