Consider the following relations :

$(1) \,\,\,A - B = A - (A \cap B)$

$(2) \,\,\,A = (A \cap B) \cup (A - B)$

$(3) \,\,\,A - (B \cup C) = (A - B) \cup (A - C)$

which of these is/are correct

If $X=\{a, b, c, d\}$ and $Y=\{f, b, d, g\},$ find

$X-Y$

Let $A$ and $B$ be two sets in the universal set. Then $A - B$ equals

If $A$ and $B$ are disjoint, then $n(A \cup B)$ is equal to

If $A=\{1,2,3,4\}, B=\{3,4,5,6\}, C=\{5,6,7,8\}$ and $D=\{7,8,9,10\} ;$ find

$A \cup B$

Is it true that for any sets $\mathrm{A}$ and $\mathrm{B}, P(A) \cup P(B)=P(A \cup B) ?$ Justify your answer.