The number of proper subsets of the set $\{1, 2, 3\}$ is

Two finite sets have $m$ and $n$ elements. The total number of subsets of the first set is $56$ more than the total number of subsets of the second set. The values of $m$ and $n$ are

Examine whether the following statements are true or false :

$\{ a\}  \in \{ a,b,c\} $

List all the elements of the following sers :

$B = \{ x:x$ is an integer $; - \frac{1}{2} < n < \frac{9}{2}\} $

Show that the set of letters needed to spell $"\mathrm{CATARACT}"$ and the set of letters needed to spell $"\mathrm{TRACT}"$ are equal.

Which of the following are sets ? Justify your answer.

The collection of all natural numbers less than $100 .$