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

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

A

`ap_(2)`

B

`2^(n)-2`

C

`2^(n)-1`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS-2

    DISHA PUBLICATION|Exercise EXERCISE-1: CONCEPT BUILDER (TOPICWISE) (TOPIC 3: Composite Function and Relation, Inverse of a Function, Binary Operations)|27 Videos
  • RELATIONS AND FUNCTIONS-2

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT APPLICATOR|30 Videos
  • RELATIONS AND FUNCTIONS-2

    DISHA PUBLICATION|Exercise EXERCISE-1: CONCEPT BUILDER (TOPICWISE) (TOPIC 1: Types of Relations, Inverse of a Relation)|14 Videos
  • RELATIONS AND FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos
  • SEQUENCES AND SERIES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

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

Let 'A={1,2,3,.....n}' and 'B={a,b,c}' , the number of functions from A to B that are onto is

The sum of first n odd natural numbers is 2n-1 (b) 2n+1 (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

Let a={1,2},B={0} then which of the following is correct Number of possible relations from A to B is 2^(0)=1 Number of void relations from A to B is not possible Number of possible relations from A to B are 4 Number of possible relations from A to 2^(n(A)+n(B)) of possible relations are equal to

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

m points on one straight line are joined to n points on another straight line. The number of points of intersection of the line segments thus formed is (A) ^mC-2.^nC_2 (B) (mn(m-1)(n-1))/4 (C) (^mC_2.^nC_2)/2 (D) ^mC_2+^nC_2

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

DISHA PUBLICATION-RELATIONS AND FUNCTIONS-2-EXERCISE-1: CONCEPT BUILDER (TOPICWISE) (TOPIC 2: Mappings, Mapping of Functions, Kinds of Mapping of Functions)
  1. Let f: R ,vecRw h e r ef(x)=(x^2+4x+7)/(x^2+x+1) . Is f(x)on eon e ?

    Text Solution

    |

  2. The set of parameter 'a' for which the functions f:R to R"defined by"f...

    Text Solution

    |

  3. If A= {1,3,5,7} and B= {1,2,3,4,5,6,7,8}, then the number of one-to-on...

    Text Solution

    |

  4. Which of the following is one-one function ?

    Text Solution

    |

  5. f:X to Y is onto, if and only if 1. range of f=Y 2. range of f neY ...

    Text Solution

    |

  6. Let A={1,2,..., n} and B={a , b }. Then number of subjections from A i...

    Text Solution

    |

  7. Let f: RtoR be function defined by f(x)=sin (2x-3), then f is

    Text Solution

    |

  8. On the set of integers Z, define f : Z to Z as f(n)={{:((n)/(2)",",,...

    Text Solution

    |

  9. If the function f: RvecA given by f(x)=(x^2)/(x^2+1) is surjection, th...

    Text Solution

    |

  10. If f : R -> R be a function such that f(x) = { x|x| -4; x in Q, x|x| -...

    Text Solution

    |

  11. Consider functions f and g such that composite gof is defined and is ...

    Text Solution

    |

  12. If f(x)=|x-2|, where x is a real number, then, which one of the follow...

    Text Solution

    |

  13. Let f : R - {n} rarr R be a function defined by f(x)=(x-m)/(x-n), wher...

    Text Solution

    |

  14. The function f : R -> R is defined by f (x) = (x-1) (x-2) (x-3) is

    Text Solution

    |

  15. Let A = {1, 2, 3) and B= {a,b,c}, and f= {(1, a),(2, b), (P, c)} be a...

    Text Solution

    |

  16. A function f: X to Y is said to be onto, if for every y in Y there ex...

    Text Solution

    |

  17. Let f be a one-one function with domain {x,y,z} and range {1,2,3}. It ...

    Text Solution

    |

  18. The mapping f : N to N given by f(n)=1+n^(2), n in N, where N is the s...

    Text Solution

    |

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

    Text Solution

    |