Home
Class 12
MATHS
The number of injective functions from a...

The number of injective functions from a set X containing m elements to a set Y containing n elements, for `m gt n` is :

A

`""^(m)P_(n)`

B

`(m-n)!`

C

`""^(m)C_(n)`

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 1) Single Correct Answer Type Questions |76 Videos

  • PERMUTATIONS AND COMBINATIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2) Single Correct Answer Type Questions |14 Videos

  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTRE ENTRANCE EXAMINATION PAPERS|9 Videos

  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos

Similar Questions

Explore conceptually related problems

The number of one-one functions from a set containing 2 elements to a set containing 3 elements is:

what are the number of onto functions from set A containing m elements to the set B containing n elements

Find the number of surjections (onto f) and from a set A containing 6 elements to a set B containing 2 elements.

The number of functions that can be defined from a set containing 25 elements into a set containing 30 elements is

Number of Surjections from Set - A containing n elements to the Set - B containing 2 elements is 30 then n is

The total number of injective mappings from a set with m elements to a set with n elements,m<=n, is

The number of bijective functions from set A to itself when A contains 106 elements is

MCGROW HILL PUBLICATION-PERMUTATIONS AND COMBINATIONS -Questions from Previous Years. B-Architecture Entrance Examination Papers
  1. The number of injective functions from a set X containing m elements t...

    Text Solution

    |

  2. A set B contain 2007 elements. Let C be the sert consisting of subsets...

    Text Solution

    |

  3. A parallel to the sides of the parallelogram. The number of parallelog...

    Text Solution

    |

  4. If there are 30 onto, mappings from a set containing n elements to the...

    Text Solution

    |

  5. Let A be a containing ten elements. Then the number of subsets of A co...

    Text Solution

    |

  6. A group of 2n students consisting of n boys and n girls are to arrange...

    Text Solution

    |

  7. The maximum possible number of points of intersection of 8 straight li...

    Text Solution

    |

  8. A committee consisting of at least three members is to be formed from ...

    Text Solution

    |

  9. The total number of injective mappings from a sct with m elements to a...

    Text Solution

    |

  10. The least positive integral value of x for which ""^(10)C(x-1)gt2(""^(...

    Text Solution

    |

  11. Suppose that six students, including Madhu and Puja, are having six be...

    Text Solution

    |

  12. In a car with seating capacity of exactly five persons, two persons ca...

    Text Solution

    |

  13. If S=sum(i=1)^(n)((""^(n)C(i-1))/(""^(n)C(i)+""^(n)C(i-1)))^(3)=(36)/(...

    Text Solution

    |

  14. A code word of length 4 consists two distimct consonants is the Englis...

    Text Solution

    |

  15. An urn contains 5 red 4 black and 3 white marbles. Then the number of ...

    Text Solution

    |

  16. In order to get through in an examination of nine papers a candidate h...

    Text Solution

    |

  17. The maximum number of points of intersections of 4 distinct circles an...

    Text Solution

    |

  18. The number of subsets of {1,2,…,99} containing at least 50 elements is...

    Text Solution

    |