Home
Class 12
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 62 or 64. How many telephone numbers have all six digits distinct?

Text Solution

Verified by Experts

The correct Answer is:
8400
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise LEVEL-1|125 Videos
  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise LEVEL-2|88 Videos
  • MOCK TEST 9

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos
  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos

Similar Questions

Explore conceptually related problems

In a city all telephone numbers have six digits. The first two digits are always 41 or 42 or 46 or 62. How many telephone numbers have all six distinct digits?

How many 3-digit number have exactly one of their digits as 5?

How many 5-digit numbers are there in all?

How many 7-digit numbers are there in all?

How many 8-digit numbers are there in all?

How many four digit numbers are there with distinct digits?

How many three digit numbers are there is all?

How many two–digit numbers are divisible by 3?

How many two–digit numbers are divisible by 3?

How many two–digit numbers are divisible by 3?

VMC MODULES ENGLISH-PERMUTATION & COMBINATION-JEE ARCHIVE
  1. In a certain city all telephone numbers have six digits, the first two...

    Text Solution

    |

  2. The number of integers greater than 6000 that can be formed using the ...

    Text Solution

    |

  3. How many different nine-digit numbers can be formed from the digits of...

    Text Solution

    |

  4. An n-digit number is a positive number with exactly n digits. Nine hun...

    Text Solution

    |

  5. In a college of 300 students, every student reads 5 newspapers and eve...

    Text Solution

    |

  6. Eight chairs are numbered 1 to 8. Two women and three men wish to oc...

    Text Solution

    |

  7. Ten different letters of an alphabet are given. Words with five letter...

    Text Solution

    |

  8. let T(n) be the number of all possible triangels formed by joining ver...

    Text Solution

    |

  9. Find the value of ""^(47)C4+ underset (r=1) overset( 5) sum ""^(52-r...

    Text Solution

    |

  10. True or false 1. The product of any 2. r 3. 4. consecutive natural ...

    Text Solution

    |

  11. The letters of the word COCHIN are permuted and all the permutation...

    Text Solution

    |

  12. The number of arrangements of the letters of the word BANANA in whic...

    Text Solution

    |

  13. The number of divisors of the form 4K + 2 , K ge 0 of the integers 24...

    Text Solution

    |

  14. Find the number of ways in which six '+' and four '-' signs can be arr...

    Text Solution

    |

  15. There are five balls of different colours and five boxes of colours sa...

    Text Solution

    |

  16. The number of ways of choosing 10 objects out of 31 objects of which 1...

    Text Solution

    |

  17. Suppose that 20 pillars of the same height have been erected along the...

    Text Solution

    |

  18. Some identical balls are arranged in rows to form an equilateral trian...

    Text Solution

    |

  19. There are m men and two women participating in a chess tournament. Eac...

    Text Solution

    |

  20. A group of students comprises of 5 boys and n girls. If the number of ...

    Text Solution

    |

  21. Let S be the set of all triangles in the xy-plane, each having one ver...

    Text Solution

    |