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

Let $X$ be a family of sets and $R$ be a relation defined on $X$ by "$A$ is disjoint from $B$". Then $R$ is:

Let the number of elements of the sets $A$ and $B$ be $p$ and $q$, respectively. Then, the number of relations from the set $A$ to the set $B$ is

Which of the following relations are functions? Give reasons. If it is a function,determine its domain and range.
$\{(1,3), (1,5), (2,5)\}$

If $R$ is a relation from set $A$ to set $B$,then

Let $A = \{1, 2, 3, 4, 6\}$. Let $R$ be the relation on $A$ defined by $R = \{(a, b) : a, b \in A, b \text{ is exactly divisible by } a\}$. Write $R$ in roster form.