Home
Class 12
MATHS
Find the number of surjections from A to...

Find the number of surjections from A to B, where A={1,2,3,4}, B={a,b}.

A

`.^(n)P_(2)`

B

`2^(n) - 2`

C

`2^(n) - 1`

D

`2^(n)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - B) Objective Type Questions (one option is correct)|86 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - C) Objective Type Questions (More than one option are correct)|17 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Try Yourself|70 Videos

  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION-J (aakash challengers questions)|11 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - J) Aakash Challengers|11 Videos

Similar Questions

Explore conceptually related problems

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

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

If A={a,y} and B={2,5} , then find the number of relations from set A to B.

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,..., 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

If A={0,1,2,3,4} and B={a,b} , then the number of onto functions from A to B is

Write total number of one-one functions from set A={1,\ 2,\ 3,\ 4} to set B={a ,\ b ,\ c} .

If possible find the sum of the matrics A and B, where A=[{:( sqrt(3),1),(2,3):}]"and" B=[{:(x,y,z) ,(a,b,c):}]

Let A={2,3} and B={4,5,6}. Find the number of relations from A to B.

AAKASH INSTITUTE ENGLISH-RELATIONS AND FUNCTIONS -Assignment (Section - A) Objective Type Questions (one option is correct)
  1. Let f : R rarr R, g : R rarr R be two functions given by f(x) = 2x - 3...

    Text Solution

    |

  2. Set A has 3 elements and set B has 4 elements. The number of injection...

    Text Solution

    |

  3. Find the number of surjections from A to B, where A={1,2,3,4}, B={a,b}...

    Text Solution

    |

  4. Let A and B be two finite sets having m and n elements respectively. T...

    Text Solution

    |

  5. The total number of injective mappings from a set with m elements to a...

    Text Solution

    |

  6. Let A be a set containing 10 distinct elements. Then the total number ...

    Text Solution

    |

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

    Text Solution

    |

  8. If f : R rarr R, f(x) = 1/(x^2 - 1), then domain is

    Text Solution

    |

  9. Function f :R->R,f(x) = x|x| is

    Text Solution

    |

  10. domain of f(x) = (x^(2))/(1-x^(2)), is

    Text Solution

    |

  11. Let f : N rarr N be defined as f(x) = 2x for all x in N, then f is

    Text Solution

    |

  12. Let A={1,2,3,4,5,6}dot Define a relation R on set A by R={(x , y): y=x...

    Text Solution

    |

  13. Let f(x) = [x] and g(x) = x - [x], then which of the following functi...

    Text Solution

    |

  14. Function f : R rarr R, f(x) = x + |x|, is

    Text Solution

    |

  15. Function f : [(pi)/(2), (3pi)/(2)] rarr [-1, 1], f(x) = sin x is

    Text Solution

    |

  16. Function f[(1)/(2)pi, (3)/(2)pi] rarr [-1, 1], f(x) = cos x is

    Text Solution

    |

  17. If f : R rarr R, f(x) = sin^(2) x + cos^(2) x, then f is

    Text Solution

    |

  18. If function f(x) = (1+2x) has the domain (-(pi)/(2), (pi)/(2)) and co-...

    Text Solution

    |

  19. The function f : (0, oo) rarr [0, oo), f(x) = (x)/(1+x) is

    Text Solution

    |

  20. If f(x) = x/(x-1)=1/y then the value of f(y) is

    Text Solution

    |