Relation $R$ on set $N$ is defined as follows:
$R = \{(a, b) : a = b - 2, b > 6\}$. Select the appropriate option.

Let $A = \{1, 2, 3, \ldots, 14\}$. Define a relation $R$ from $A$ to $A$ by $R = \{(x, y) : 3x - y = 0, \text{ where } x, y \in A\}$. Write down its domain,codomain,and range.

If $n(A)=2$ and the total number of possible relations from set $A$ to set $B$ is $1024$,then $n(B)$ is:

Let $A = \{1, 2, 3\}$. The total number of distinct relations that can be defined over $A$ is

$A$ relation on the set $A = \{x : |x| < 3, x \in Z\}$,where $Z$ is the set of integers,is defined by $R = \{(x, y) : y = |x|, x \neq -1\}$. Then the number of elements in the power set of $R$ is

Given two finite sets $A$ and $B$ such that $n(A) = 2$ and $n(B) = 3$. Then the total number of relations from $A$ to $B$ is: