First slide

Introduction to Relations (XI) on Sets

Question

If number of elements in sets A and B are and m, n respectively,then the number of relations from A to B is

Easy

A

${2^{m + n}}^{}$
B

$2^{m n}$
C

m+n
D

mn

Solution

$N o . o f o r d e r p a i r s f r o m A t o B i s n (A) n (B) N u m b e r o f r e l a t i o n s f r o m A t o B i s 2^{n (A) n (B)} = 2^{m n}$

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