The number of symmetric relations defined on the set $\{1,2,3,4\}$ which are not reflexive is
The number of symmetric relations defined on the set $\{1,2,3,4\}$ which are not reflexive is
- [JEE MAIN 2024]
- A
$950$
- B
$940$
- C
$960$
- D
$965$
Similar Questions
Show that the number of equivalence relation in the set $\{1,2,3\} $ containing $(1,2)$ and $(2,1)$ is two.
Show that the number of equivalence relation in the set $\{1,2,3\} $ containing $(1,2)$ and $(2,1)$ is two.
Let $A=\{1,2,3\} .$ Then show that the number of relations containing $(1,2) $ and $(2,3)$ which are reflexive and transitive but not symmetric is four.
Let $A=\{1,2,3\} .$ Then show that the number of relations containing $(1,2) $ and $(2,3)$ which are reflexive and transitive but not symmetric is four.
Define a relation $R$ over a class of $n \times n$ real matrices $A$ and $B$ as $"ARB$ iff there exists a non-singular matrix $P$ such that $PAP ^{-1}= B "$ Then which of the following is true?
Define a relation $R$ over a class of $n \times n$ real matrices $A$ and $B$ as $"ARB$ iff there exists a non-singular matrix $P$ such that $PAP ^{-1}= B "$ Then which of the following is true?
- [JEE MAIN 2021]
Determine whether each of the following relations are reflexive, symmetric and transitive:
Relation $R$ in the set $A$ of human beings in a town at a particular time given by
$R =\{(x, y): x$ and $y$ live in the same locality $\}$
Determine whether each of the following relations are reflexive, symmetric and transitive:
Relation $R$ in the set $A$ of human beings in a town at a particular time given by
$R =\{(x, y): x$ and $y$ live in the same locality $\}$
Let $R$ be a relation on a set $A$ such that $R = {R^{ - 1}}$, then $R$ is
Let $R$ be a relation on a set $A$ such that $R = {R^{ - 1}}$, then $R$ is