Home
Class 12
MATHS
The number of bijective function from a ...

The number of bijective function from a set A to itself when A contains n elements is-

A

`n^2`

B

n

C

n!

D

`2^n`

Text Solution

Verified by Experts

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • QUESTION PAPER 2020

    SHARAM PUBLICATION|Exercise EXERCISE|47 Videos
  • THREE DIMENSIONAL GEOMETRY

    SHARAM PUBLICATION|Exercise EXAMPLE|96 Videos

Similar Questions

Explore conceptually related problems

The total number one-one function from a finite set with m elements to a set with n elements form>n is

What is the total number of relations from a set A to set B, where absA=3 and absB=2 ?

Knowledge Check

  • The number of atoms (n) contained within a cubic cell is :

    A
    1
    B
    2
    C
    3
    D
    4
  • Similar Questions

    Explore conceptually related problems

    Sets A and B have respectively m and n elements. The total number of relations from set A to set B is 64. If m lt n and m ne 1 , write the values of m and n, respectively.

    Determine the total number of binary operations on the set S = (1, 2) having 1 as identity element.

    If n(A)=4 and n(B)=6 then the number of one-one function from A to B is-

    Let X and Y be sets containing m and n elements respectively. (i) What is the total number of functions from X to Y. (ii) How many functions from X to Y are one-one according as m lt n ,m gt n and m=n?

    How many of the functions Suppose A is a set of n elements and B is a set with m elements are one - one with (i)m=n ,(ii) m n

    Sets A and B have respectively m and n elements. The total number of relations from A to B is 64. If mltn and mne1 write the values of m and n respectively.

    Sets A and B have respectively m and n elements. The total number of relations from A to B is 64. If mltn and mne1 write the values of m and n respectively.