Home
Class 12
MATHS
If a set A has m elements and a set B ha...

If a set A has m elements and a set B has n elements then the number of relation from a to B is ...........

A

`2^(m+n)`

B

`2^(mn)`

C

`m+n`

D

`mn`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice Work|54 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|19 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Work|66 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - D (Answer the following questions))|2 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

The set A has 4 elements and set B has 2 elements how many relations are there from A to B

A set A has 3 elements and a set B has 4 elements . The number of one one function defined from set A to B is .........

If the set A contains 5 elements and the set B contains 6 elements , then the number of one -one and onto mapping from A to B is ....

If the set A has 3 elements and the set B =(3, 4, 5), then find the number of elements in (A xx B).

Set AcupB has m elements and set AcapB has n elements . Then set ADeltaB has ….. elements .

If the set A has 3 elements and the set B= {3, 4, 5}, then find the number of elements in (A xx B)

The set A has 3 elements how many relations are there from A to A.

If a set A has 2 elements then how many elements are there in n(A xx A xx A) ?

n(A)= m, n (B) = n. The total number of non empty relation from A to B is……..

KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -Textbook based MCQs
  1. If a set A has m elements and a set B has n elements then the number o...

    Text Solution

    |

  2. A relation R on a finite set having n elements is reflexive. If R has ...

    Text Solution

    |

  3. x and y are real numbers . If xRy hArr x - y +sqrt5 is on irrational ...

    Text Solution

    |

  4. A = {1,2,3,4} . A relation R is A is given by F = {(2,2),(3,3),(4,4),...

    Text Solution

    |

  5. A relation R is form set A to B , and a relation S is from set B to C ...

    Text Solution

    |

  6. Relation R = {(4,5),(1,4),(4,6),(7,6),(3,7)} then R^(-1)OR = .......

    Text Solution

    |

  7. Which of the graphs is not a graph of functions ?

    Text Solution

    |

  8. If f(1) = 1, f(n+1)= 2f (n) + 1, n ge 1 then f(n) = .........

    Text Solution

    |

  9. A function y = f(x) satisfies the condition f(x+(1)/x) =x^(2)+1/(x^2)(...

    Text Solution

    |

  10. If f(x+ay,x -ay) = axy then f(x,y) = ......

    Text Solution

    |

  11. For function f(x) = (alpha x)/(x+1) , x ne -1 if fof(x) = x then alph...

    Text Solution

    |

  12. For real valued functions f and g, f(x) = 2sin (pi/x) and g(x) = sqrtx...

    Text Solution

    |

  13. The domain of the real value function f(x) = sqrt(5-4x-x^(2))+x^(2)log...

    Text Solution

    |

  14. The domian of sin^(-1)[log(3)(x/3)] is .......

    Text Solution

    |

  15. Range of the function f(x)= (x^(2) + x + 2)/(x^(2) + x + 1) is……

    Text Solution

    |

  16. If g(x) =x^(2)+x-2 and 1/(2) (gof) (x) =2x^(2)-5x+2 then f(X) =..........

    Text Solution

    |

  17. g(x) = 1 + sqrt(x) and f(g(x)) =3 +2sqrtx+x then f(x) = ......

    Text Solution

    |

  18. If real function f(x) =(x+1)^(2) and g(x) =x^(2) +1 then (fog) (-3) = ...

    Text Solution

    |

  19. f(x) = cot^(-1)x: R^(+) rarr (0,pi) and g(x) = 2x-x^(2): R rarrR then ...

    Text Solution

    |

  20. The domian of f is [-5,7] and g(x) = |2x+5| then the domian of (fog) (...

    Text Solution

    |