The number of non-empty subsets of the set $\{1, 2, 3, 4\}$ is
$15$
$14$
$16$
$17$
Let $A=\{1,2,3,4,5,6\} .$ Insert the appropriate symbol $\in$ or $\notin$ in the blank spaces:
$10 \, .........\, A $
Write the following sets in the set-builder form :
${\rm{\{ 2,4,8,16,32\} }}$
State which of the following sets are finite or infinite :
$\{ x:x \in N$ and ${x^2} = 4\} $
Let $S=\{1,2,3, \ldots, 40)$ and let $A$ be a subset of $S$ such that no two elements in $A$ have their sum divisible by 5 . What is the maximum number of elements possible in $A$ ?
For an integer $n$ let $S_n=\{n+1, n+2, \ldots \ldots, n+18\}$. Which of the following is true for all $n \geq 10$ ?