The number of symmetric relations defined on the set {1,2,3,4} which are not reflexive is________.

Question

The number of symmetric relations defined on the set {1,2,3,4} which are not reflexive is________.
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

To solve this problem, we need to understand a few concepts:

  1. Symmetric Relation: A relation R on a set A is said to be symmetric if (a, b) ∈ R implies (b, a) ∈ R for all a, b ∈ A.

  2. Reflexive Relation: A relation R on a set A is said to be reflexive if (a, a) ∈ R for every a ∈ A.

  3. The total Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

This problem has been solved

Similar Questions

The number of symmetric relations defined on the set {1,2,3,4} which are not reflexive is________.

The total number of reflexive relations on a finite set having n elements is ________

A={1,2,3,4}, THEN R={(1,2),(1,3),(3,3),(3,1)} IS A __________ ans. NON SYMMETRIC RELATION ANTI SYMMETRIC RELATION REFLEXIVE RELATION TRANSITIVE RELATION

Determine whether the Relation R in the set A=1,2,3,4,5,6 as R={(x,y):yisdivisiblebyx}  is reflexive, symmetric and transitiveHard

Which of the following is NOT a valid set? a. {1,2,3,4} b. {apple, banana, cherry} c. {{1},{2},{3}} d. {5,6,5}

1/3