Advertisement Remove all ads

# If R is a Relation from a Finite Set a Having M Elements of a Finite Set B Having N Elements, Then the Number of Relations from a to B is (A) 2mn (B) 2mn − 1 (C) 2mn (D) Mn - Mathematics

MCQ

If R is a relation from a finite set A having m elements of a finite set B having n elements, then the number of relations from A to B is

#### Options

• (a) 2mn

• (b) 2mn − 1

• (c) 2mn

• (d) mn

Advertisement Remove all ads

#### Solution

(a) 2mn

Given: n(A) = m
n(B) = n
$n\left( A \times B \right) = mn$

Then, the number of relations from A to B is 2mn.

Concept: Relation
Is there an error in this question or solution?
Advertisement Remove all ads

#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 2 Relations
Q 12 | Page 26
Advertisement Remove all ads

#### Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications

Forgot password?