When $A=\phi$, then number of elements in $P(A)$ is .............. .
$$\begin{aligned} \therefore \quad & A =\phi \quad \Rightarrow n(A)=0 \\ & n\{P(A)\} =2^{n(A)}=2^0=1 \end{aligned} $$ So, number of element in $P(A)$ is 1 .
If $A$ and $B$ are finite sets, such that $A \subset B$, then $n(A \cup B)$ is equal to ............ .
If $A$ and $B$ are two finite sets such that $A \subset B$, then $n(A \cup B)=n(B)$.
If $A$ and $B$ are any two sets, then $A-B$ is equal to ............. .
If $A$ and $B$ are any two sets, then $A-B=A \cap B^{\prime}$
$\therefore \quad A-B=A \cap B^{\prime}$
Power set of the set $A=\{1,2\}$ is ........... .
$$\therefore A=\{1,2\}$$
So, the subsets of $A$ are $\phi,\{1\},\{2\}$ and $\{1,2\}$.
$$\therefore \quad P(A)=\{\phi,\{1\},\{2\},\{1,2\}\}$$
If the sets $A=\{1,3,5\}, B=\{2,4,6\}$ and $C=\{0,2,4,6,8\}$. Then, the universal set of all the three sets $A, B$ and $C$ can be .......... .
Universal set for $A, B$ and $C$ is given by $U=\{0,1,2,3,4,5,6,8\}$