Home
Class 11
MATHS
How many different 4-digit numbers can b...

How many different 4-digit numbers can be formed from the digits 2,3,4 and 5 if each digits is used only once in as number ? Further, how many of these numbers i. end in a 4? ii.end in a 3? iii. End in a 3 or 6?

Text Solution

Verified by Experts

The correct Answer is:
24 (i) 6 (ii) 6 (iii) 12
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise EXERCISE 7 (d) Long Answer Type Questions - II|3 Videos
  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise EXERCISE 7 (e ) Short Answer Type Questions|8 Videos
  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise EXERCISE 7 (d) Short Answer Type Questions|16 Videos
  • MOCK TEST

    MODERN PUBLICATION|Exercise SECTION - D|5 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

How many odd numbers greter than 8000 can be formed using the digits 2,3,4,5 nd 8 if each digit is used only once in each number?

How many 7 digit numbers can be formed with the digits 2,3,0,3,4,4,3?

How many five-digit numbers can be formed with the digits 5, 4, 3, 5, 3?

How many numbers greater than 40000 can be formed using the digits 1,2,3,4 and 5 if each digit is used only once in each number?

How many odd numbers greater than 80000 can be formed using the digits 2, 3, 4, 5 and 8 if each digit is used only once in a number ?

How many 2 digit even numbers can be formed from the digits 1,2,3,4;5 if the digits can be repeated?

How many three digit numbers can be formed without using the digits 0,2,3,4,5 and 6?

How many 3-digit even numbers can be formed from the digits 1,2,3,4,5,6 if the digits can be repeated?

How many 3 -digit even numbers can be formed from the digits 1,2,3,4,5,6 if the digits can be repeated?

How many 2-digit even numbers can be formed from the digits 1, 2, 3, 4 and 5, if the digits can be repeated ?

MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS -EXERCISE 7 (d) Long Answer Type Questions - I
  1. From the digits 1, 2, 3, 4, 5, 6 how many three - digit odd numbers ca...

    Text Solution

    |

  2. How many of the natural numbers can be formed from the digits 2, 3, 5,...

    Text Solution

    |

  3. How many 5-digit telephone numbers can be formed with the digits 0, 1,...

    Text Solution

    |

  4. It is required to seat 5 men and 4 women in a row so that the women...

    Text Solution

    |

  5. Find the value of (n!)/((n-r)!),if n=10 and r=3.

    Text Solution

    |

  6. In how many ways can 6 boys and 5 girls be arranged for a group photog...

    Text Solution

    |

  7. Find the number of 4 letter words, with or without meaning, which c...

    Text Solution

    |

  8. The letters of the word TUESDAY are arranged in a line, each arrangeme...

    Text Solution

    |

  9. How many three letter words can be made using the letters of the word ...

    Text Solution

    |

  10. Find the number of different 8-letter arrangements that can be made...

    Text Solution

    |

  11. In how many ways can the letters of the word 'HEXAGON' be permuted? In...

    Text Solution

    |

  12. How many permutations can be made out of the letters of the word TRIAN...

    Text Solution

    |

  13. How many words, with or without meaning, each of 3 vowels and 2 con...

    Text Solution

    |

  14. How many words can be formed out of the letters of the word 'ARTICLE' ...

    Text Solution

    |

  15. In how many ways can 5 children be arranged in a line such that : ...

    Text Solution

    |

  16. Four books, one each in Chemistry, Physics, Biology and Mathematics, ...

    Text Solution

    |

  17. How many different signals can be made with 6 given flags of different...

    Text Solution

    |

  18. How many different 4-digit numbers can be formed from the digits 2,3,4...

    Text Solution

    |

  19. How many numbers greater than 40000 can be formed using the digits 1,2...

    Text Solution

    |

  20. How many odd numbers greater than 80000 can be formed using the digits...

    Text Solution

    |