Let $S = \{ 0, 1, 5, 4, 7 \}$. Then the total number of subsets of $S$ is

Let $A = \{1, 2, \{3, 4\}, 5\}$. Which of the following statements is incorrect and why?
$1 \subset A$

The number of non-empty subsets of the set $\{1, 2, 3, 4\}$ is

Write the following set in the set-builder form: $\{ 3, 6, 9, 12 \}$

If $A$ and $B$ are two sets,then $A \cup B = A \cap B$ if and only if

Let $x_{1}, x_{2}, \ldots, x_{15}$ be $15$ distinct numbers chosen from $1, 2, 3, \ldots, 15$. Then, the value of $(x_{1}-1)(x_{2}-1)(x_{3}-1) \ldots (x_{15}-1)$ is