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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

     
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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
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 2 Relations
Q 12 | Page 26
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