Home
Class 12
MATHS
Let A be a set of n distinct elements. T...

Let `A` be a set of `n` distinct elements. Then the total number of distinct function from `AtoA` is ______ and out of these, _____ are onto functions.

Text Solution

Verified by Experts

The correct Answer is:
`n^(n),n!`
NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise SCQ_TYPE|96 Videos

  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise MATCH THE COLUMN|2 Videos

  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise SSP|55 Videos

  • NUMBER THEORY

    RESONANCE ENGLISH|Exercise Exercise -2 (PART - II)|4 Videos

  • SEQUENCE & SERIES

    RESONANCE ENGLISH|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

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

Let A be a finite set containing 3 elements, then the number of functions from A to A is

Let A be any finite set having n elements. Then number of one - one function from A to A are

Let A be a finite set containing n elements, then the number of relations on A is

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

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

Let A and B be two finite sets, then the number of functions from A to B is

Let E={1,2,3,4,} and F={1,2}. Then the number of onto functions from E to F, is ______.

Let X be a set with exactly 5 elements and Y be a set with exactly 7 elements. If alpha is the number of one-one function from X to Y and beta is the number of onto function from Y to X , then the value of 1/(5!)(beta-alpha) is _____.

Let A={1,\ 2} and B={a ,\ b} be two sets. Write total number of one-one functions from A to B .

RESONANCE ENGLISH-RELATION, FUNCTION & ITF-SUBJECTIVE_TYPE
  1. Let f:AtoA where A={x:-1lexle1}. Find whether the following function a...

    Text Solution

    |

  2. Let f:AtoA where A={x:-1lexle1}. Find whether the following function a...

    Text Solution

    |

  3. Let A be a set of n distinct elements. Then the total number of distin...

    Text Solution

    |

  4. Check whether following pairs of function are identical or not? f(x)...

    Text Solution

    |

  5. Check whether following pairs of function are identical or not? f(x)...

    Text Solution

    |

  6. Check whether following pairs of function are identical or not? f(x)...

    Text Solution

    |

  7. Check whether following pairs of function are identical or not? f(x)...

    Text Solution

    |

  8. Find for what values of x the following functions would be identical. ...

    Text Solution

    |

  9. Let f(x)=x^2+x+1 and g(x)=sinx . Show that fog!=gof .

    Text Solution

    |

  10. Let f(x) = x^2, g(x) = sin x, h(x) =sqrtx, then verify that [fo(goh)] ...

    Text Solution

    |

  11. Find fog and gof if: f(x)=e^(x),g(x)=lnx

    Text Solution

    |

  12. Find fog and gof , if f(x)=|x| , g(x)=sinx

    Text Solution

    |

  13. Find fog and gof if: f(x)=sinx,g(x)=x^(2)

    Text Solution

    |

  14. Find fog and gof , if f(x)=x^2+2 , g(x)=1-1/(1-x)

    Text Solution

    |

  15. If f(x) = ln(x^2 - x + 2) ; RR^+ rarr RR and g(x) = {x} + 1; [1, 2] ra...

    Text Solution

    |

  16. If f(x)={ 1+x^2 ; x<=1 ,x+1; 1< x<=2 and g(x)=1-x ; -2<=x<=1 then d...

    Text Solution

    |

  17. If f(x)=(x+2)/(x+1)and g(x) =(x-2)/x, then find the domain of fog(x)

    Text Solution

    |

  18. If f(x)={(sqrt(2)x,xepsilonQ-{0}),(3x,xepsilonQ^(c)):} then define fof...

    Text Solution

    |

  19. Let f(x)={(x+1,xle4),(2x+1,4ltxle9),(-x+7,xgt9):} and g(x)={(x^(2),-1...

    Text Solution

    |

  20. If f(x)=(4^(x))/(4^(x)+2), then show that f(x)+f(1-x)=1

    Text Solution

    |