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.

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

Let A be a set containing 10 distinct element, then total number of distinct function from A to A is

Let S be a set containing n elements.Then the total number of binary operations on S is

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

Let A be a set of 3 elements. The number of differentity binary operations can be defined A is…

Let E={1,2,3,4},F={1,2} then the number of onto functions from E to F is

If set A contains p elements and set B contains q elements then their total number of reletions from A to B is-

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

Let A be a set of n(ge 3) distinct elements. The number of triplets (x, y, z) of the elements of A in which ar least two coordinates are equal is

Let R be an equivalence relation on a finite set A having n elements. Then the number of ordered pairs in R is

The total number of distinct x in[0,1] for which int_0^x t^2/(1+t^4) dt =2x-1 is

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Let E={1,2,3,4},F={1,2} then the number of onto functions from E to F ...

    Text Solution

    |

  2. The range of f(x)=sec^(-1)((log)3tanx+(log)(tanx)3) is (a) [pi/3,pi/2...

    Text Solution

    |

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

    Text Solution

    |

  4. If f(x)=sin^2x+sin^2(x+pi/3)+cosxcos(x+pi/3)a n dg(5/4)=1, then (gof)...

    Text Solution

    |

  5. Each question has four choices, a,b,c and d,out of which only one is ...

    Text Solution

    |

  6. Each question has four choices, a,b,c and d,out of which only one is ...

    Text Solution

    |

  7. Let f(x)=|x-1|dot Then (a)f(x^2)=(f(x))^2 (b) f(x+y)=f(x)+f(y) (c)f(...

    Text Solution

    |

  8. Let f: RtoR ,f(x)=(x-a)/((x-b)(x-c)),b > c If f is onto, then prove...

    Text Solution

    |

  9. Show that there exists no polynomial f(x) with integral coefficients w...

    Text Solution

    |

  10. Find which of the following functions is even or odd ? f(x)=log((a-x)/...

    Text Solution

    |

  11. Let f(x) be defined on [-2,2] and be given by f(x)={−1;−2≤x≤0} andf(x)...

    Text Solution

    |

  12. The function f satisfies the functional equation 3f(x)+2f((x+59)/(x-1)...

    Text Solution

    |

  13. Let f:[-10, 10]->R ,w h e r ef(x)=sinx+[(x^2)/a], be an odd function. ...

    Text Solution

    |

  14. If a , b are two fixed positive integers such that f(a+x)=b+[b^3+1-3b^...

    Text Solution

    |

  15. Let f(x, y) be a periodic function satisfying the condition f(x, y) = ...

    Text Solution

    |

  16. The domain of the function f(x)=1/(sqrt({sinx}+{sin(pi+x)})) where ...

    Text Solution

    |

  17. Let f: R ->[0,pi/2) be defined by f(x)=tan^(-1)(x^2+x+a)dot Then the s...

    Text Solution

    |

  18. Let f(x)=([a]^2-5[a]+4)x^3-(6{a}^2-5{a}+1)x-(tan)x sin x be an even f...

    Text Solution

    |

  19. f(x)=cosx/([2x/pi]+1/2) where x is not an integral multiple of ...

    Text Solution

    |

  20. If f(x+y)=f(x)+f(y)-x y-1AAx , y in R and f(1)=1, then the number of ...

    Text Solution

    |