Home
Class 12
MATHS
Let A be the set with n elements. The nu...

Let `A` be the set with n elements. The number of onto functions from `A` to `A` is

A

`n^(n)`

B

`n^(v)-n !`

C

`(n^(n))/(n !)`

D

`n !`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|233 Videos
  • PROBABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|213 Videos

Similar Questions

Explore conceptually related problems

A is a set having 6 distinct elements . The number of distinct functions from A to A which are not bijections is

A is a set having 6 distinct elements. The number of distinct functions from A to A which are not bijections is

Let A be a set containing 10 distinct elements . Then the total number of distinct functions from A to A is :

Let A and B be two sets consisting of m and n elements respectively (n ge m) . The number of one-one functions from A to B is

Find the number of all onto functions from the set {1,2,3..,n} to itself.

A set contains n elements. The Power set contains

Let A and B be two finite sets having m and n elements respectively. If mlen , the total number of injective functions from A to B is :

Find the number of all one-one functions from set A = {1,2,3} to itself.

Let A = {1, 2, 3, 4} and B = {1, 2} . Then the number of onto functions from A onto B is

If A={x|x in N,xle5},B={x|x in Z,x^(2)-5x+6=0} , then the number of onto functions from A to B is

HIMALAYA PUBLICATION-PERMUTATION AND COMBINATIONS-Question Bank
  1. If m>n, the number of ways m men and n women can be seated in a row, s...

    Text Solution

    |

  2. The number of ways of arranging six + signs and four - signs in a row ...

    Text Solution

    |

  3. Let A be the set with n elements. The number of onto functions from A ...

    Text Solution

    |

  4. A five digit number divisible by 3 is to be formed using the numbers 0...

    Text Solution

    |

  5. The number of ways in which n distinct balls can be put into three box...

    Text Solution

    |

  6. The number of numbers divisible by 3 that can be formed by four differ...

    Text Solution

    |

  7. Total number of 6-digit numbers in which all the odd digit appear is

    Text Solution

    |

  8. The number of ways of distributing 15 identical toys among 6 children ...

    Text Solution

    |

  9. The number of signals, that can be sent by 5 flags of different colour...

    Text Solution

    |

  10. Ten different letters of alphabet are given. Words with five letters a...

    Text Solution

    |

  11. All the letters of the word ' EAMCET '' are arranged in all possible w...

    Text Solution

    |

  12. In how many ways a committee consisting of 3 men and 2 women , can be ...

    Text Solution

    |

  13. Given 5 different green dyes , 4 different blue dyes and 3 different r...

    Text Solution

    |

  14. The number of words that can be formed out of the letters of the word ...

    Text Solution

    |

  15. The total number of 9 digit numbers which have all different digits is

    Text Solution

    |

  16. The number of ways in which we can choose a the committee from four ...

    Text Solution

    |

  17. The number of 5- digit telephone number having at least one of the...

    Text Solution

    |

  18. The number of ways in which a team of eleven players can be selected ...

    Text Solution

    |

  19. The number of parallelograms that can be formed from a set of four par...

    Text Solution

    |

  20. The number of triangles that are formed by choosing the vertices from ...

    Text Solution

    |