Home
Class 12
MATHS
If R is a relation from a finite set A h...

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

Text Solution

Verified by Experts

The correct Answer is:
`2^(mn)`
Promotional Banner

Topper's Solved these Questions

  • SET, RELATION & FUNCTION

    FIITJEE|Exercise Assigment problem (SUBJECTIVE) level II|10 Videos

  • SET, RELATION & FUNCTION

    FIITJEE|Exercise Assigment problem ( OBJECTIVE )level I|20 Videos

  • SET, RELATION & FUNCTION

    FIITJEE|Exercise Solved Problems Level -II|8 Videos

  • QUADRATIC EQUATION & EXPRESSION

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • STATISTICS

    FIITJEE|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

If R is a relation on a finite set having n elements,then the number of relations on A is

Set A has 5 eleements and set B has 3 elements. Find the number of relations from set A to B.

If a set A contain 7 elements and the set B contain 9 elements, then the number of one-one and onto , mappings from A to B is :

If A contains 4 elements and B contains 3 elements, then total number of distinct relations from a set A to set B is

If A is a finite set containing n elements then find the number of subsets of A.

If A and B have 4 and 3 elements respectively, then number of relations from A to B.

Let A and B be two finite sets having m and n elements respectively.Then the total number of mappings from A to B is