Home
Class 11
MATHS
Let A be a set containing 10 distinct el...

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

A

`10!`

B

`10^(10)`

C

`2^(10)`

D

`2^(10)-1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    OMEGA PUBLICATION|Exercise IMPORTANT QUESTIONS FROM MISCELLANEOUS EXERCISE|12 Videos

  • PROBABILITY

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs) |15 Videos

  • SAMPLE QUESTION PAPER -1 (PUNJAB)

    OMEGA PUBLICATION|Exercise SECTION - D|6 Videos

Similar Questions

Explore conceptually related problems

Let S be a set containing 10 distinct elements, then the total number of distinct functions from S to S is:

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

Let A be a finite set containing n distinct elements. The number of relations that can be defined from A to A is (a) 2^n (b) n^2 (c) 2^(n^2) (d) None of these

Let A and B be two sets containing 3 and 4 elements respectively. The number of functions from A to B is :

A set contain n elements, then power set contains:

If S is a finite set having n elements , then the total number of commutative binary operations S is :

OMEGA PUBLICATION-RELATIONS AND FUNCTIONS -M.C.Q
  1. If A = {2,4,5} , B = {7,8,9} then n (Axx B) is equal to

    Text Solution

    |

  2. If A = {0,1} and B = {1,0} , then A xx B is equal to

    Text Solution

    |

  3. Let O (A) = m, O(B) = n . Then the number of relations from A to B ...

    Text Solution

    |

  4. A relation R on a set A is called an equivalence relation iff

    Text Solution

    |

  5. If r is a relation on a finite set having n elements, then the num...

    Text Solution

    |

  6. Let A be a set containing 10 distinct elements. Then the total number ...

    Text Solution

    |

  7. The domain of the function f(x) = sqrt(x - 1) + sqrt(6 - x) is

    Text Solution

    |

  8. Find domain for y=1/sqrt(abs(x)-x).

    Text Solution

    |

  9. If the domain of the function f (x) = x^(2) - 6 x + 7 is (-infty, i...

    Text Solution

    |

  10. The range of the function for real x of y = (1)/( 2 - sin 3 x) is

    Text Solution

    |

  11. The range of f (x) = ( 1 + x^(2))/( x^(2))

    Text Solution

    |

  12. f (x) = (| x|)/( x) , x ne 0 then the value of function

    Text Solution

    |

  13. If x ne 1 and f(x) = ( x + 1)/( x - 1) is a real function, then f(f(...

    Text Solution

    |

  14. If f (x) = (2 x + 1)/( 3 x - 2) , then (fof) (2) is equal to

    Text Solution

    |

  15. The relation R defined on N as {(a,b): a^(2) + b^(2) lt 16} is give...

    Text Solution

    |

  16. If A = {0,1} B = {1,2} , c = {2,3} ," then" (A xx B) cap (A xx C) =

    Text Solution

    |

  17. If A be an empty set and B be a finite set having n elements then the...

    Text Solution

    |

  18. If f(x) = (x- 1)/( x + 1) , then f (2 x) is

    Text Solution

    |

  19. The domain of definition of the function f (x) = log |x| is given by

    Text Solution

    |