Home
Class 12
MATHS
Let A={1,2,3,4,5}, B={1,2,3,4} and f:A r...

Let A={1,2,3,4,5}, B={1,2,3,4} and `f:A rarr B` is a function, then

A

A. number of onto functions, if n(f(A))=4 is 240

B

B. number of onto functions, if n(f(A))=3 is 600

C

C. number of onto functions, if n(f(A))=2 is 180

D

D. number of onto functions, if n(f(A))=1 is 4

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|25 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|76 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos
  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

Let A={1,2,3,4,5} and f:A rarr A be an into function such that f(x) nex forall x in A . Then number of such functions f is:

If X={1,2,3,4,5} and Y={a,b,c,d,e,f} and f:X rarr Y , find the total number of functions .

Let A = {– 1, 0, 1, 2} , B = {– 4, – 2, 0, 2} and f, g : A rarr B , be functions defined by f (x) = x^2 – x , x in A and g(x)= 2|x-(1/2)|-1, x in A . Are f and g equal? Justify your answer.

Let A={1,2,3,4,5} and B={-2,-1,0,1,2,3,4,5}. Onto functions from A to A such that f(i) ne i for all i , is

Let A = {1, 2, 3, 4,5,6} and B = {2,4,6, 8}. Find A xx B .

Let A= {1, 2, 3, 4, 5, 6} and B = {2, 4, 6, 8}. Find : A - B and B - A. Show that A- B ne B-A .

Let A = {1, 2, 3}, B = {2, 3, 4} and C = {4, 5}. Verify that : Axx(B nn C)=(AxxB)nn (A xx C) .

Let A={1,2,3}, B={3,4}, C={4,5,6}, then Acap(BcapC) is:

Let A = {1, 2, 3}, B = {3, 4} and C = {4, 5, 6}, the Auu(BnnC) is

Let A={1,2,3}, B.:= {4, 5, 6,7}, and f = {(1, 4), (2,5), (3, 6) be function from A to B state whether the function f is one-one or not.

ARIHANT MATHS-FUNCTIONS-Exercise (More Than One Correct Option Type Questions)
  1. f(x)=x^2-2a x+a(a+1),f:[a ,oo)⟶[a ,oo)dot If one of the solution of th...

    Text Solution

    |

  2. The function 'g' defined by g(x)=sin(sin^(-1){sqrt(x)}+cos (sin^(-1){s...

    Text Solution

    |

  3. The graph of f:R rarr R defined by y=f(x) is symmetric with respect to...

    Text Solution

    |

  4. Let y=f(x) be a differentiable function such that f(−1)=2,f(2)=−1 and ...

    Text Solution

    |

  5. Let f(x)=abs(x-1)+abs(x-2)+abs(x-3)+abs(x-4), then a. least value of ...

    Text Solution

    |

  6. Let A={1,2,3,4,5}, B={1,2,3,4} and f:A rarr B is a function, then

    Text Solution

    |

  7. In a function 2f(x)+ xf(1/x)-2f(|sqrt2sin(pi(x+1/4))|)=4cos^2[(pix)/2]...

    Text Solution

    |

  8. If f(x) is a differntiable function satisfying the condition f(100x)=x...

    Text Solution

    |

  9. If [x] denotes the greatest integer function then the extreme values o...

    Text Solution

    |

  10. Which of the following are true?

    Text Solution

    |

  11. If f(x) is a polynomial of degree n such that f(0)=0 , f(x)=1/2,......

    Text Solution

    |

  12. Let f: R->R be a function defined by f(x+1)=(f(x)-5)/(f(x)-3)AAx in R...

    Text Solution

    |

  13. Let f(x)=1-x-x^3.Find all real values of x satisfying the inequality,...

    Text Solution

    |

  14. If a function satisfies (x-y)f(x+y)-(x+y)f(x-y)=2(x^2 y-y^3) AA x, y i...

    Text Solution

    |

  15. If the fundamental period of function f(x)=sinx+cos(sqrt(4-a^(2)))x "...

    Text Solution

    |

  16. Let f (x) be a real vaued continuous function such that f (0) =1/2 a...

    Text Solution

    |

  17. if f(g(x)) is one-one function, then

    Text Solution

    |

  18. Which of the following functions have their range equal to R(the set o...

    Text Solution

    |

  19. Which of the following pairs of function are identical? a. f(x)=e^(In ...

    Text Solution

    |

  20. Let f:R rarr R defined by f(x)=cos^(-1)(-{-x}), where {x} denotes fra...

    Text Solution

    |