Home
Class 11
MATHS
Let n(A) = m and n(B) = n. The total num...

Let n(A) = m and n(B) = n. The total number of non-empty relations that can defined from A to B is

A

`m^(n)`

B

`n^(m) - 1`

C

`mn - 1`

D

`2^(mn) - 1`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Ncert File Question for Ncert Book (Exercise2.1)|10 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Ncert File Question for Ncert Book (Exercise2.2)|7 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Exercise 2 (e)|4 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Let n(A)=m and n(B)=n Then, the total number of non-empty relations that can be defined from A to B is:

Let A={x_(1),x_(2),......X_(m)},B={y_(1),y_(2),...,,y_(n)} then total number of non-empty relations that can bedefined from A to B, is

If n(A)=4 ,then total number of reflexive relations that can be defined on the set A is

Let A and B infinite sets containing m and n elements respectively. The number of relations that can be defined from A to B is

The number of one-one functions that can be defined from A={4,8,12,16} to B is 5040 then n(B)

Let there be two sets A&B , such that A={a,b} & \ n(B)=4 ,then total number of possible relations defined from set B to set A is

Let n(A)=5 and n(B)=3 then find the number of injective functions and onto functions from A to B

" Let there be two sets "A&B" ,such that "A={a,b} & n(B)=4" ,then total number of possible relations defined from set "B" to set "A" is "

Let n(A)=3 and n(B)=5 , then the number of one - one functions from A to B is

Let n(A) = n, then the number of all relations on A, is

MODERN PUBLICATION-RELATIONS AND FUNCTIONS-Objective type questions
  1. Let n(A) = m and n(B) = n. The total number of non-empty relations tha...

    Text Solution

    |

  2. Domain of sqrt(a^(2)-x^(2))(agt0) is

    Text Solution

    |

  3. Range of f(x)=(1)/(1-2 cos x) is :

    Text Solution

    |

  4. The domain of the function f given by f(x)=(x^(2)+2x+1)/(x^(2)-x-6)

    Text Solution

    |

  5. The correct match by the following is :

    Text Solution

    |

  6. If R is a relation from a finite set A having m elements to a finite s...

    Text Solution

    |

  7. (i) If A= [-1,1], find A xx A (ii) If P = {1,2}, find P xx P

    Text Solution

    |

  8. If G={7,8} and H={5,4,2}, find G xx H and H xx G.

    Text Solution

    |

  9. If P ={ a, b, c} and Q = {r} , find P xx Q .

    Text Solution

    |

  10. If n(A)=3, n(B)=4, then write n(AxxAxxB) .

    Text Solution

    |

  11. Let A and B be two sets such that n (A) = 3 and n(B) =2. If (x,1) (y,2...

    Text Solution

    |

  12. Let A = {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(adot ...

    Text Solution

    |

  13. Let R be the relation ''is divisor of'' from the set A{1,2,3} to B= [4...

    Text Solution

    |

  14. If A={1,3,5}a n d\ B={2,4} list the elements of R ,\ if\ R={(x , y): x...

    Text Solution

    |

  15. Let R = {(x,y): x, y in Z, y = 2x-4]. If (p,-2) and [4, q^(2))in R, th...

    Text Solution

    |

  16. If R={(x , y): x , y in Z ,\ x^2+y^2lt=4} is a relation defined on th...

    Text Solution

    |

  17. A function f is defined by f(x)" "=" "2x" "" "5 . Write down the value...

    Text Solution

    |

  18. Write the range of the function f (x) = cos [x], where -pi/2< x < pi/2

    Text Solution

    |

  19. Find the domain and range of each of the following real valued func...

    Text Solution

    |

  20. Write of the domain and range of f(x)=sqrt(x-[x])dot

    Text Solution

    |