The Gateway to Computer Science Excellence
First time here? Checkout the FAQ!
+14 votes

The number of binary relations on a set with $n$ elements is:

  1. $n^2$

  2. $2^n$

  3. $2^{n^2}$

  4. None of the above

in Set Theory & Algebra by Veteran (52.1k points)
retagged by | 1.9k views

1 Answer

+20 votes
Best answer
Answer: $C$

In a binary relation two elements are chosen from the set. So, with $n$ elements $n^2$ pairings are possible. Now, a relation can be any subset of these $n^2$ pairings and thus we get $2^{n^2}$ binary relations.
by Boss (33.8k points)
edited by
@shaik could you pls explain more

Related questions

Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
50,376 questions
55,839 answers
91,390 users