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 $A{ = ^n}{C_0}{ + ^n}{C_1} + ………{ + ^n}{C_n} = {2^n}$.
Which set is the subset of all given sets
Write the set $A = \{ 1,4,9,16,25, \ldots .\} $ in set-builder form.
The number of elements in the set $\{ (a,\,b):2{a^2} + 3{b^2} = 35,\;a,\,b \in Z\} $, where $Z$ is the set of all integers, is
Write the following intervals in set-builder form :
$\left( {6,12} \right]$
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 $A \in B,$ then $x \in B$
