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Answer
Let us consider the following sets $A, B$ and $C$ such that
$ A =\{1,2,3\}$
$B =\{2,3,5\}$
$C =\{4,5,6\}$
$\text { Now }(A \cap B) \cup C=(\{1,2,3\} \cap\{2,3,5\}) \cup\{4,5,6\}$
$=\{2,3\} \cup\{4,5,6\}$
$=\{2,3,4,5,6\}$
$\text { And } A \cap(B \cup C)=\{1,2,3\} \cap[\{2,3,5\} \cup\{4,5,6\}$
$=\{1,2,3\} \cap\{2,3,4,5,6\}$
$=\{2,3\}$
$\text { Thus, }(A \cap B) \cup C \neq A \cap(B \cup C)$
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