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

A

`2^(mn)`

B

`2^(mn)-1`

C

2mn

D

`m^(n)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|6 Videos

  • AREAS OF BOUNDED REGIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|53 Videos

Similar Questions

Explore conceptually related problems

Let A be a finite set containing n elements, then the number of relations on A is

Let A be a finite set containing 3 elements, then the number of functions from A to A is

If the set A contains 7 elements and the set B contains 10 elements, then the number of one-one functions from A to B is

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

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

Let A be any finite set having n elements. Then number of one - one function from A to A are

if A is a finite set having n elements , then P(A) has

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

If a finite set S contains n elements, then the number of non empty proper subsets of S is

If set A has 3 elements and set B has 6 elements, then the number of elements in A uu B ?

OBJECTIVE RD SHARMA ENGLISH-CARTESIAN PRODUCT OF SETS AND RELATIONS -Exercise
  1. If R is a relation from a set A to set B, then

    Text Solution

    |

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

    Text Solution

    |

  3. If R is a relation on a finite set having n elements, then the number ...

    Text Solution

    |

  4. about to only mathematics

    Text Solution

    |

  5. Let R be a reflexive relation on a set A and I be the identity relatio...

    Text Solution

    |

  6. Let A be the non-void set of the children in a family. The relation 'x...

    Text Solution

    |

  7. Let O be the origin. We define a relation between two points P and ...

    Text Solution

    |

  8. The relation R defined in N as aRbimpliesb is divisible by a is

    Text Solution

    |

  9. Given the relation R={(1,\ 2),\ (2,\ 3)} on the set A={1,\ 2,\ 3} , ad...

    Text Solution

    |

  10. An integer m is said to be related to another integer n, if m is integ...

    Text Solution

    |

  11. Let A = {1, 2, 3, 4}, and let R = {(2, 2), (3, 3), (4, 4), (1, 2)} be ...

    Text Solution

    |

  12. Let R(1) be a relation defined by R(1)={(a,b)|agtb,a,b in R}. Then ...

    Text Solution

    |

  13. Let R be a reflexive relation on a finite set A having n elements and ...

    Text Solution

    |

  14. The void relation on a set A is

    Text Solution

    |

  15. Let R be an equivalence relation on a finite set A having n elements....

    Text Solution

    |

  16. The relation R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)} on set A={1,2,3} ...

    Text Solution

    |

  17. Let R and S be two equivalence relations on a set A Then : A. R uu S ...

    Text Solution

    |

  18. The relation is subset of on the power set P (A) of a set A is

    Text Solution

    |

  19. Let P={(x,y)|x^(2)+y^(2)=1, x,y in R}. Then, P is

    Text Solution

    |

  20. Let R = {(a, a)} be a relation on a set A.Then R is

    Text Solution

    |