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

Open in App

Solution

The onto function from the set

{ 1,2,3,...,n } to itself is the permutation of n symbols that is from 1 to n.

Thus, the total number of onto maps from { 1,2,3,...,n } to itself is equal to the total permutation of n symbols that is from 1 to n numbers that is n.

Suggest Corrections

Similar questions

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

Q. Find the number of all onto functions from the set

{1, 2, 3, . . . ., n}

to itself

Q. The number of all onto functions from the set

A = {1, 2, 3, \dots n}

to itself is

Q. Find the number of all one-one functions from set

A = {1, 2, 3}

to itself.

A function is selected from all functions on set S = {1, 2, 3,.... n} to itself. If the probability that it is one-one is $\frac{3}{32}$ , then n is equal to ___.

Join BYJU'S Learning Program

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

The onto function from the set { 1,2,3,...,n } to itself is the permutation of n symbols that is from 1 to n. Thus, the total number of onto maps from { 1,2,3,...,n } to itself is equal to the total permutation of n symbols that is from 1 to n numbers that is n.

The onto function from the set

{ 1,2,3,...,n } to itself is the permutation of n symbols that is from 1 to n.

Thus, the total number of onto maps from { 1,2,3,...,n } to itself is equal to the total permutation of n symbols that is from 1 to n numbers that is n.