Home
Class 11
MATHS
If A={1,2,3},\ B={x , y} , then the numb...

If `A={1,2,3},\ B={x , y}` , then the number of functions that can be defined from A into B is `12` b. `8` c. `6` d. 3

A

12

B

8

C

6

D

3

Text Solution

Verified by Experts

The correct Answer is:
B

Total number of functions from `A to B =2^(3)=8`
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section I - Solved Mcqs|49 Videos
  • FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|10 Videos
  • DISCRETE PROBABILITY DISTRIBUTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|40 Videos
  • HYPERBOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

Similar Questions

Explore conceptually related problems

If A={a,b,c} and B={-3,-1,0,1,3} , then the number of injections that can be defined from A to B is .

If A={1,2,3) and B={a,b} , then the number of functions from A to B is

If A={x,y,z} and B={1,2} , then the number of relations from A to B is

Let A = {x_1, x_2, x_3, ,x_7},B={y_1, y_2, y_3} The total number of functions f: A->B that are onto and there are exactly three element x in A such that f(x)=y_2 is equal to a. 490 b. 510 c. 630 d. none of these

If a and b can take values 1,\ 2,\ 3,\ 4 . Then the number of the equations of the form a x^2+b x+1=0 having real roots is (a) 10 (b) 7 (c) 6 (d) 12

If function f(x) is defined from set A to B, such that n(A)=3 and n(B)=5 . Then find the number of one-one functions and number of onto functions that can be formed.

Statement -2 : The number of functions from A = {1, 2, 3} to B = {2008, 2009} is 8. and Statement-2 : The number of all possible functions from A = {1, 2, 3} to B = {2008, 2009} is 9.

Let A={x_1,x_2,x_3,x_4,x_5},B={y_1,y_2,y_3,y_4} , Function f is defined from A to B. Such that f(x_1)=y_1 , and f(x_2)=y_2 then, number of onto functions from A to B is (A) 12 (B) 6 (C) 18 (D) 27

If A={1,2} and B={3,6} and two functions f: A to B and g: A to B are defined respectively as : f(x) =x^(2) + 2 and g(x) =3x Find whether f=g

Let X={a_1, a_2, ,a_6}a n dY={b_1, b_2,b_3}dot The number of functions f from xtoy such that it is onto and there are exactly three elements x in X such that f(x)=b_1 is 75 (b) 90 (c) 100 (d) 120

OBJECTIVE RD SHARMA ENGLISH-FUNCTIONS-Chapter Test
  1. If A={1,2,3},\ B={x , y} , then the number of functions that can be de...

    Text Solution

    |

  2. The number of bijective functions from set A to itself when A contains...

    Text Solution

    |

  3. If f(x)=|sin x| then domain of f for the existence of inverse of

    Text Solution

    |

  4. The function f:[-1//2,\ 1//2]->[-pi//2,pi//2\ ] defined by f(x)=s in^(...

    Text Solution

    |

  5. Let f: R->R be a function defined by f(x)=(e^(|x|)-e^(-x))/(e^x+e^(-x)...

    Text Solution

    |

  6. If f: (e,oo) rarr R & f(x)=log[log (logx)], then f is - (a)f is one-...

    Text Solution

    |

  7. Let f: R-{n}->R be a function defined by f(x)=(x-m)/(x-n) , where m!=n...

    Text Solution

    |

  8. Find the inverse of the function: f(x)=(e^(x)-e^(-x))/(e^(x)+e^(-x))+2

    Text Solution

    |

  9. Find the inverse of the function :y=(1 0^x-1 0^(-x))/(1 0^x+1 0^(-x))+...

    Text Solution

    |

  10. Let f(x+(1)/(x))=x^(2)+(1)/(x^(2)),(x ne 0) then f(x) equals

    Text Solution

    |

  11. Let f : R rarr R, g : R rarr R be two functions given by f(x) = 2x - 3...

    Text Solution

    |

  12. If g(x)=1+sqrtx and f(g(x))=3+2sqrtx+x then f(x) is equal to

    Text Solution

    |

  13. If f(x)=(1-x)/(1+x), x ne 0, -1 and alpha=f(f(x))+f(f((1)/(x))), then

    Text Solution

    |

  14. Let f:R to R be a function defined by f(x)=(x^(2)-8)/(x^(2)+2). Then f...

    Text Solution

    |

  15. If f:(-oo,2]to (-oo,4] where f(x), then f ^(-1) (x) is given by :

    Text Solution

    |

  16. Find the inverse of the function, (assuming onto). " " ...

    Text Solution

    |

  17. f: R->R is defined by f(x)=(e^(x^2)-e^(-x^2))/(e^(x^2)+e^(-x^2)) is :

    Text Solution

    |

  18. If f(x)=log((1+x)/(1-x))a n dt h e nf((2x)/(1+x^2)) is equal to {f(x)...

    Text Solution

    |

  19. If f(x)=(2^x+2^(-x))/2 , then f(x+y)f(x-y) is equals to 1/2{f(2x)+f(2y...

    Text Solution

    |

  20. The function f:R to R given by f(x)=x^(2)+x is

    Text Solution

    |

  21. Let f:R to R and g:R to R be given by f(x)=3x^(2)+2 and g(x)=3x-1 for ...

    Text Solution

    |