Home
Class 11
MATHS
Let n(A) = 4 and n(B) = k. The number of...

Let n(A) = 4 and n(B) = k. The number of all possible injections from A to B is 120 then k =

A

9

B

24

C

5

D

6

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -II|165 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|50 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|12 Videos

  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTION|15 Videos

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos

Similar Questions

Explore conceptually related problems

Let n(A) = 4 and n(B) = 5. The number of all possible many-one functions from A to B is

Let n(A)=4 and n(B)=5 . The number of all possible many-one functions from A to B is

If A, B are two sets such that n(A) = 100, n(B) = 150, then the number of bijections from A onto B is

If A, B are two sets such that n(A) = 15, n(B) = 20, then the number of injections from A into B is

If A , B are two sets such that n(A)=100, n(B)=150 , then the number of bijections from A onto B is

A = {1, 2, 3, 4), B = {a, b, c, d, e}, then the number of all possible constant functions from A to B is

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

Two finite sets A and B have n and 2 elements respectively. For n ge 2 , if the number of surjections from A to B are 62, then n =

Let T_(n) be the number of all possible triangles formed by joining vertices of an n - sided regular polygon . IF T_(n+1)-T _n=10 then the value of n is -

AAKASH SERIES-FUNCTIONS -EXERCISE -I
  1. f: N to A where N is the set of natural numbers and A is the set of e...

    Text Solution

    |

  2. Define f:Z rarrZ by f(x)={{:(x//2,"(x is even)"),(0,"(x is odd)"):} th...

    Text Solution

    |

  3. If f:[0,infty) to R defined by f(x) = x^(2), then f is

    Text Solution

    |

  4. Let X and Y be subsets of R, the set of all real numbers. The function...

    Text Solution

    |

  5. If f: A to A is defined by f(x) =x^(3), where A ={x//-1 le x le 1}, th...

    Text Solution

    |

  6. The function cos(3x-4) defined from R to R is:

    Text Solution

    |

  7. A is a finite set and B is a singleton set. Then f: A to B is:

    Text Solution

    |

  8. Set A has n elements. The number of functions that can be defined from...

    Text Solution

    |

  9. The number of one one functions that can be defined from {1, 2, 3, 4}...

    Text Solution

    |

  10. Let n(A) = 4 and n(B) = k. The number of all possible injections from ...

    Text Solution

    |

  11. Let n(A) = 4 and n(B) = 5. The number of all possible many-one functio...

    Text Solution

    |

  12. Set A contains 3 elements and set R contains 2 elements. The number of...

    Text Solution

    |

  13. Let A = {1, 2, 3,--------n} and B = {a, b, c], the number of functions...

    Text Solution

    |

  14. Set A has 3 elements. Set B has 4 elements. The number of surjections ...

    Text Solution

    |

  15. If A = {a(1),a(2), ……,a(10)} and B = {b(1),b(2),b(3),…….b(10)} then th...

    Text Solution

    |

  16. The number of one one onto functions that can be defined from {1,2,3,4...

    Text Solution

    |

  17. If A, B are two sets such that n(A) = 100, n(B) = 150, then the number...

    Text Solution

    |

  18. A = {1, 2, 3, 4), B = {a, b, c, d, e}, then the number of all possible...

    Text Solution

    |

  19. If A = {1, 2, 3, 4} then the number of binary operations that can be d...

    Text Solution

    |

  20. If A ={a,b,c} then the number of functions that can be defined from A ...

    Text Solution

    |