First slide

Introduction to Relations (XI) on Sets

Question

Given two finite sets A and B such that $n (A) = 2, n (B) = 3$ . Then total number of relations from A to B is

Easy

A

$4$
B

$8$
C

64
D

None of these

Solution

Here $n (A \times B) = 2 \times 3 = 6$
Since every subset of $A \times B$ defines a relation from A to B, number of relation from A to B is equal to number of subsets of $A \times B = 2^{6} = 64$ .

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