First slide

Introduction to Relations (XI) on Sets

Question

If A is a finite set having n elements,then the number of relations which can be defined in A is

Moderate

A

1. $2^{n}$
B

$n^{2}$
C

$2^{n^{2}}$
D

nⁿ

Solution

o(A)=n
o(AxA)=nxn=n²
o[P(AxA)]= $2^{n^{2}}$

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