Examine whether the following statement is true or false:
$\{a, b\} \not\subset \{b, c, a\}$

Set $A$ has $m$ elements and Set $B$ has $n$ elements. If the total number of subsets of $A$ is $112$ more than the total number of subsets of $B$,then the value of $m \times n$ is

Determine the subset for the set $\{n(n+1)(2n+1) : n \in \mathbb{Z}\}$.

Two dice are thrown. The events $A, B$ and $C$ are as follows:
$A:$ getting an even number on the first die.
$B:$ getting an odd number on the first die.
$C:$ getting the sum of the numbers on the dice $\leq 5$.
Describe the event $A$ or $B$.

Let $A$ and $B$ be two non-empty subsets of a set $X$ such that $A$ is not a subset of $B$. Then:

Which of the following is a set? Justify your answer.
The collection of questions in this chapter.