Home
Class 12
MATHS
Let A = {1,2,3}. Then number of relation...

Let `A = {1,2,3}.` Then number of relations containing `(1,2) and (1,3)` which are reflexive ans symmetric but not transitive is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Let A = {1,2,3}. Then number of equivalence relations containing (1,2) is

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 three.

Give an example of a relation which is reflexive and symmetric but not transitive.

Let A= {1,2,3}. Then the relation R= {(2,3)} in A is :

Let A={1,2} and B={3,4}. Find the number of relations from A to B.

Let A={1,2} and B={3,4}. Find the number of relations from A to B.

Let A={x,y,z} and B={1,2}. Find the number of relations from A to B.

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

Show that the relation S in the set R of real numbers defined as S={(a,b): a, b in R and a le b^(3) } is neither reflexive, nor symmetric, nor transitive.