Home
Class 12
MATHS
Let A={1,2,..., n} and B={a , b }. The...

Let `A={1,2,..., n}` and `B={a , b` }. Then number of surjections from `A` into `B` is nP2 (b) `2^n-2` (c) `2^n-1` (d) nC2

Promotional Banner

Topper's Solved these Questions

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|90 Videos

  • HIGHER ORDER DERIVATIVES

    RD SHARMA ENGLISH|Exercise All Questions|179 Videos

Similar Questions

Explore conceptually related problems

Let A = {1, 2, 3, ..., n} and B= {a,b}. Then the number of surjections from A into B is

Let A={1,2,..., n} and B={a , b }. Then number of subjections from A into B is n_P_2 (b) 2^n-2 (c) 2^n-1 (d) nC2

Let A = {1,2,3,…,n} and B = {x,y}. Then the number of surjections from B into A is

If A={1,2,3,.....n],nge2 and B={a,b} , then the number of surjections from A to B is

Let A="{"1,2"]"a n d\ B={3,4} . Find the total number of relations from A into B.

Find sum of sum_(r=1)^n r . C (2n,r) (a) n*2^(2n-1) (b) 2^(2n-1) (c) 2^(n-1)+1 (d) None of these

The number of terms in the expansion of (x+1/x+1)^n is (A) 2n (B) 2n+1 (C) 2n-1 (D) none of these

The arithmetic mean of 1,2,3,...n is (a) (n+1)/2 (b) (n-1)/2 (c) n/2 (d) n/2+1

The arithmetic mean of 1,2,3,...n is (a) (n+1)/2 (b) (n-1)/2 (c) n/2 (d) n/2+1

The mean of first n odd natural number is (a) (n+1)/2 (b) n/2 (c) n (d) n^2

RD SHARMA ENGLISH-FUNCTION-All Questions
  1. If a function g={(1,1),(2,3),(3,5),(4,7)} is described by g(x)=alphax+...

    Text Solution

    |

  2. Show that f: R-[0]->R-[0] given by f(x)=3/x is invertible and it is in...

    Text Solution

    |

  3. Let A={1,2,..., n} and B={a , b }. Then number of surjections from A...

    Text Solution

    |

  4. If f: Rvec (-1,1) is defined by f(x)=-(x|x|)/(1+x^2),t h e nf^(-1)(x...

    Text Solution

    |

  5. Let f: ZrarrZ be defined by f(n)=3n for all n in Z and g: ZrarrZ be d...

    Text Solution

    |

  6. Let A={x in R :0lt=xlt=1}dot If f: A->A is defined by f(x)={(x ,, if ...

    Text Solution

    |

  7. Let A=[-1,1]dot Then, discuss whether the following functions from A t...

    Text Solution

    |

  8. Let R be a relation on the set A of ordered pairs of positive intege...

    Text Solution

    |

  9. Let A be a finite set. If f: AvecA is an onto function, show that f is...

    Text Solution

    |

  10. Show that the function f: R-{3}->R-{1} given by f(x)=(x-2)/(x-3) is ...

    Text Solution

    |

  11. Show that the function f: Rvec R given by f(x)=x^3+x is a bijection.

    Text Solution

    |

  12. Let f: Nuu{0}->Nuu{0} be defined by f={(n+1 ,, ifn \ i s \ e v e n),(n...

    Text Solution

    |

  13. Let f: N-[1]vecN be defined by, f(n)= the highest prime factor ofn . S...

    Text Solution

    |

  14. Let A={1,2} . Find all one-to-one function from A to A.

    Text Solution

    |

  15. Let f: Rveca n dg: RvecR be defined by f(x)=x+1a n dg(x)=x-1. Show tha...

    Text Solution

    |

  16. Verify assoiativity for the following three mappings : f: N->Z0 (t...

    Text Solution

    |

  17. If the set A contains 5 elements and the set B contains 6 elements, th...

    Text Solution

    |

  18. If the set A contains 7 elements and the set B contains 10 elements, ...

    Text Solution

    |

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

    Text Solution

    |

  20. The inverse of the function f: Rvec{x in R : x<1} given by f(x)=(e^x-...

    Text Solution

    |