Home
Class 12
MATHS
Let S be the set of all function from t...

Let S be the set of all function from the set {1, 2, …, 10} to itself. One function is selected from S, the probability that the selected function is one-one onto is :

A

`(9!)/(10^(9))`

B

`(1)/(10)`

C

`(100)/(10!)`

D

`(9!)/(10^(10))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-2 : One or More than One Answer is/are Correct|4 Videos

  • PROBABILITY

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|12 Videos

  • PERMUTATION AND COMBINATIONS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-5 : Subjective Type Problems|13 Videos

  • QUADRATIC EQUATIONS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|45 Videos

Similar Questions

Explore conceptually related problems

The number of all onto functions from the set {1,2,3,4,….,n} to itself is

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

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

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

Show that the function f(x)=3x+ 2 is one-one and onto

A mapping is select at random from the set of all the mappings of the set A={1,2, n} into itself. Find the probability that the mapping selected is an injection.

The total number of onto functions from the set {1,2,3,4) to the set (3,4,7) is

A mapping is selected at random from the set of all the mappings of the set A={1,2,...,n} into itself. Find the probability that the mapping selected is an injection.

Give an example of a function which is one-one but not onto.

The number of bijective functions from set A to itself when A contains 106 elements is