Home
Class 11
MATHS
In a certain city, all telephone numbers...

In a certain city, all telephone numbers have six digits , the first two digits always being 41 or 42 or 46 or 60 or 64. How many telephone number have all six digits distinct ?

Text Solution

Verified by Experts

The correct Answer is:
8400
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise NCERT EXEMPLAR PROBLEMS (LONG ANSWER TYPE QUESTIONS)|7 Videos

  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise NCERT EXEMPLAR PROBLEMS (OBJECTIVE TYPE QUESTIONS)|15 Videos

  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|24 Videos

  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Sequence and Series (Fill in the blanks )|48 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    KUMAR PRAKASHAN|Exercise NCERT EXEMPLAR PROBLEMS (QUESTION OF MODULE )|11 Videos

Similar Questions

Explore conceptually related problems

How many two digit number are divisible by 3 ?

The number of 5 digit telephone numbers having atleast one of their digits repeated is

The number of six digit number all digit of which are odd, is ……

Find the total number of 9-digit numbers which have all different digits.

How many two-digit numbers are divisible by 3?

While dialing a telephone number, an old man forgets its last two digit. If the last two digits are distinct, then the probability that a man dials true number is ......

How many 5-digit telephone numbers can be constructed using the digits 0 to 9 if each number starts with 67 and no digit appears more than once?

How many 5 - digit telephone numbers can be constructed using the digits 0 to 9 if each number starts with 67 and no digit appears more than once ?

The sum of a two digit number and the number obtained by reversing the digits is 66. If the digits of the number differ by 2, find the number. How many such numbers are there?

Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder.

KUMAR PRAKASHAN-PERMUTATIONS AND COMBINATIONS-NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)
  1. Eight chairs are numbered 1 to 8. Two women and 3 man wish to occupy o...

    Text Solution

    |

  2. If the letters of the word 'RACHIT' are arranged in all possible ways ...

    Text Solution

    |

  3. A candidate is required to answer 7 questions out of 12 questions, whi...

    Text Solution

    |

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

    Text Solution

    |

  5. We wish tto select 6 person from 8 but, if the person A is chosen, the...

    Text Solution

    |

  6. How many committee of five person with a chairperson can be selected ...

    Text Solution

    |

  7. How many automobile licencse plates can be made, if each plate contain...

    Text Solution

    |

  8. A bag contains 5 black and 6 red balls. Determine the number of ways i...

    Text Solution

    |

  9. Find the number of permutations of n distinct things taken r together,...

    Text Solution

    |

  10. Find the number of different words that can be formed from the letters...

    Text Solution

    |

  11. Find the number of popstive integers greater than 6000 and less than 7...

    Text Solution

    |

  12. There are 10 persons named ""P1,P2,P3,....,P10' Out of 10 persons, 5 p...

    Text Solution

    |

  13. There are 10 lamps in a hall, Each one of them can be switched on inde...

    Text Solution

    |

  14. A box contains two white, there black and four red balls. In how many ...

    Text Solution

    |

  15. if ""^nc(r-1)=36, ""^ncr=84 and ""^nc(r+1)=126,than find the value of ...

    Text Solution

    |

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

    Text Solution

    |

  17. If 20 lines are drawn in a plane such that no two of them are paralled...

    Text Solution

    |

  18. In a certain city, all telephone numbers have six digits , the first t...

    Text Solution

    |

  19. In an examination, a student has to answer 4 questions out of 5 questi...

    Text Solution

    |

  20. If a convex polygon has 44 diagonals, than find the number of its side...

    Text Solution

    |