If a set $A$ has $n$ elements, then the total number of subsets of $A$ is
$n$
${n^2}$
${2^n}$
$2n$
(c) Number of subsets of $A{ = ^n}{C_0}{ + ^n}{C_1} + ………{ + ^n}{C_n} = {2^n}$.
Write the following intervals in set-builder form :
$\left( {6,12} \right]$
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$\{1,2,3\}\subset A$
State whether each of the following set is finite or infinite :
The set of lines which are parallel to the $x\,-$ axis
Consider the sets
$\phi, A=\{1,3\}, B=\{1,5,9\}, C=\{1,3,5,7,9\}$
Insert the symbol $\subset$ or $ \not\subset $ between each of the following pair of sets:
$A \ldots C$
In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
If $x \in A$ and $A \not\subset B$, then $x \in B$
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