Home
Class 12
MATHS
Let A and B infinite sets containing m a...

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

A

nm

B

`2^(nm)`

C

`2^(m+n)`

D

m+n

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - B) Objective Type Questions (one option is correct)|87 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - C) Objective Type Questions (More than one option are correct)|17 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Try Yourself|70 Videos

  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION-J (aakash challengers questions)|13 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - J) Aakash Challengers|12 Videos

Similar Questions

Explore conceptually related problems

Let A be a finie set containing n distinct elements. The number of relations that can be defined on A is

Let A be a finite set containing n distinct elements. The number of functions that can be defined from A to A is

Statement-1: If A and B are two sets having 3 and 5 elements respectively, then the total number of functions that can be defined from A to B is 5^(3) . Statement-2: A function from set A to set B relates elements of set A to elements of set B.

Number of relations that can be defined on the set A = {a, b, c} is

Let A and B be two sets containing 8 and 2 elements respectively then the total number of surjective mapping from A to B is

Set A has 3 elements and set B has 4 elements. The number of injections that can be defined from A to B is

AAKASH INSTITUTE-RELATIONS AND FUNCTIONS -Assignment (Section - A) Objective Type Questions (one option is correct)
  1. Let A be a finie set containing n distinct elements. The number of rel...

    Text Solution

    |

  2. Let A be a finite set containing n distinct elements. The number of fu...

    Text Solution

    |

  3. Let A and B infinite sets containing m and n elements respectively. Th...

    Text Solution

    |

  4. Let A = {1, 2, 3}. Which of the following relations is a function from...

    Text Solution

    |

  5. Let R1 and R2 be equivalence relations on a set A, then R1uuR2 may or ...

    Text Solution

    |

  6. Let R be the relation defined on the set N of natural numbers by the r...

    Text Solution

    |

  7. Let a = {a, b, c} and R = {(a, a), (b, b), (c, c), (b, c), (a, b)} be ...

    Text Solution

    |

  8. Let A = {1, 2, 3} and R = {(1, 1), (2,2), (1, 2), (2, 1), (1,3)} then ...

    Text Solution

    |

  9. Let A = {1, 2, 3}. Which of the following is not an equivalence relat...

    Text Solution

    |

  10. Which of the following relation is a function ?

    Text Solution

    |

  11. Let A = {1, 2, 3} and B = {2, 3, 4}, then which of the following is a ...

    Text Solution

    |

  12. The function f: NvecN(N is the set of natural numbers) defined by f(n)...

    Text Solution

    |

  13. Let f : R rarr R be defined by f(x) = x^(2) - 3x + 4 for all x in R, t...

    Text Solution

    |

  14. If f is a function form a set A to A, then f is invertible iff f is

    Text Solution

    |

  15. Let f : R rarr R, g : R rarr R be two functions given by f(x) = 2x - 3...

    Text Solution

    |

  16. Set A has 3 elements and set B has 4 elements. The number of injection...

    Text Solution

    |

  17. The number of Surjections from A = {1, 2, ....4}, n ge 2, onto B = {a,...

    Text Solution

    |

  18. Let A and B be two finite sets having m and n elements respectively. T...

    Text Solution

    |

  19. The total number of injective mappings from a set with m elements to a...

    Text Solution

    |

  20. Let A be a set containing 10 distinct elements, then the total number ...

    Text Solution

    |