Home
Class 11
MATHS
A number of four different digits is for...

A number of four different digits is formed with the use of the digits 1,2,3,4 and 5 in all possible ways. Find the following
(i) How many such numbers can be formed?
(ii) How many of these are even?
(iii) How many of these are exactly divisible by 4?

Promotional Banner

Topper's Solved these Questions

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    FULL MARKS|Exercise EXERCISE 4.1|16 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    FULL MARKS|Exercise EXERCISE 4.2|19 Videos

  • BINOMIAL THEOREM, SEQUENCES AND SERIES

    FULL MARKS|Exercise Additional Questions Solved|31 Videos

  • DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    FULL MARKS|Exercise EXERCISE 5 ADDITIONAL PROBLEMS (Find the derivative of following functions.)|10 Videos

Similar Questions

Explore conceptually related problems

How many two-digit numbers are divisible by 3?

The sum of all 4 digit numbers of different digits formed with the digits 1, 2, 5 and 6 is

How many three-digit numbers are divisible by 7?

How many three digit natural numbers are divisible by 4?

How many two digit natural numbers are divisible by 5?

FULL MARKS-COMBINATORICS AND MATHEMATICAL INDUCTION-ADDITIONAL QUESTIONS
  1. A number of four different digits is formed with the use of the digits...

    Text Solution

    |

  2. If the letter of the word 'RACHIT' are arrenged in all possible ways a...

    Text Solution

    |

  3. Count the number of positive integers greater than 6000 and less than ...

    Text Solution

    |

  4. Find the number of integers greater than 7000 that can be formed with ...

    Text Solution

    |

  5. How many words (with or without dictionary meaning ) can be made from ...

    Text Solution

    |

  6. How many automobile license plates can be made, if each plate contains...

    Text Solution

    |

  7. If (n!)/(3!(n-4)! and (n!)/(5!(n-5)! are in the ratio 5:3 find the val...

    Text Solution

    |

  8. How many 3-digit even numbers can be made using the digits 1,2,3,4,6,7...

    Text Solution

    |

  9. If ""^(n-1)P(3): ""^(n)P(4)=1:9 find n.

    Text Solution

    |

  10. Out of 18 points in a plane, no three are in the same line except five...

    Text Solution

    |

  11. We wish to select 6 person from 8 but , if the person A is choosen , t...

    Text Solution

    |

  12. How many 3-digit numbers can be made using digit 1,2,3,4,6,7 if no dig...

    Text Solution

    |

  13. Find the number of 4-digit numbers that can be formed using the digits...

    Text Solution

    |

  14. Iff ""^(5)P(r)=""^(6)P(r-1) find r.

    Text Solution

    |

  15. How many words, with or without meaning , can be made from the letters...

    Text Solution

    |

  16. A group consists of 4 girls and 7 boys. In how many ways can a team of...

    Text Solution

    |

  17. A committee of 6 is to be choosen from 10 men and 7 women so as to con...

    Text Solution

    |

  18. Using the digits 1,2,3,4,5,6,7 a number of 4 different digits is forme...

    Text Solution

    |

  19. If ""^(22)P(r+1):^(20)P(r+2)=11:52, find r.

    Text Solution

    |

  20. If ""^(nP(r)=""^(n)P(r+1) and ""^(n)C(r)=""^(n)C(r-1) find n and r.

    Text Solution

    |

  21. A committee of 7 peoples has to be formed from 9 men and 4 women . In ...

    Text Solution

    |