For any sets $\mathrm{A}$ and $\mathrm{B}$, show that
$P(A \cap B)=P(A) \cap P(B).$
If $A$ and $B$ are any two sets, then $A \cap (A \cup B)$ is equal to
If $A$ and $B$ are two sets then $(A -B) \cup (B -A) \cup (A \cap B)$ is equal to
If $A=\{3,5,7,9,11\}, B=\{7,9,11,13\}, C=\{11,13,15\}$ and $D=\{15,17\} ;$ find
$A \cap B$
Find the union of each of the following pairs of sets :
$X =\{1,3,5\} \quad Y =\{1,2,3\}$