If X and Y are two sets, then X∩Y ' ∩ (X∪Y) ' is
We know that: \[ (X \cup Y)' = X' \cap Y' \] So, we have: \[ X \cap Y' \cap (X \cup Y)' = X \cap Y' \cap X' \cap Y' = \emptyset \] This is because \( X \cap X' = \emptyset \), which makes the entire intersection equal to the empty set.
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