Let $S = \{ 0,\,1,\,5,\,4,\,7\} $. Then the total number of subsets of $S$ is
$64$
$32$
$40$
$20$
(b) $S = \,\,\,\,\{ 0,\,1,\,5,\,4,\,7\} $,
then, total number of subsets of $S$ is ${2^n}$.
Hence, ${2^5} = 32$.
Examine whether the following statements are true or false :
$\{ a,e\} \subset \{ x:x$ is a vowelin the English alphabet $\} $
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$1 \in A$
If $A = \{ 1,\,2,\,3,\,4,\,5\} ,$ then the number of proper subsets of $A$ is
In the following state whether $A=B$ or not :
$A=\{4,8,12,16\} ; B=\{8,4,16,18\}$
Which of the following are sets ? Justify your answer.
The collection of all natural numbers less than $100 .$