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 $U=\{0,1,2,3,4,5,6,8\}$
If $U=\{1,2,3,4,5,6,7,8,9,10\}, A=\{1,2,3,5\}, B=\{2,4,6,7\}$ and $C=\{2,3,4,8\}$. Then,
(i) $(B \cup C)^{\prime}$ is ............ .
(ii) $(C-A)^{\prime}$ is .......... .
If $\begin{aligned} & U=\{1,2,3,4,5, \ldots, 10\} \\ & A=\{1,2,3,5\}, B=\{2,4,6,7\} \text { and } C=\{2,3,4,8\}\end{aligned}$
$$\therefore \quad B \cup C=\{2,3,4,6,7,8\}$$
(i) $(B \cup C)^{\prime}=U-(B \cup C)=\{1,5,9,10\}$
(ii) $C-A=\{4,8\}$
$\therefore \quad(C-A)^{\prime}=U-(C-A)=\{1,2,3,5,6,7,9,10\}$