$\displaystyle A$and $\displaystyle B $ are two sets.

S1: $\displaystyle P(A\cup B) = P(A) \cup P(B) $

S2: $\displaystyle P(A\cap B) = P(A) \cap P(B) $

Which of the above statement(s) is true ?

My answer was both of them are wrong.

But the answer says s2 is correct. But when I take two disjoint sets as example, i get two elements in left and one element at right.

$\displaystyle \{{\emptyset,\{\emptyset\}}\} \neq\{\emptyset\}$

Please correct my answer.