Home
Class 11
MATHS
Car licenses of a certain place consist ...

Car licenses of a certain place consist of 3 letters followed by 3 digits, followed by a letter. The letters L and O must not be used and the first of the digits must not be zero. If repetitions of letters and digits are allowed, how many different number plates are available.

Promotional Banner

Topper's Solved these Questions

  • PERMUTATION AND COMBINATION

    PATHFINDER|Exercise QUESTION BANK|223 Videos
  • PRINCIPLE OF MATHEMATICAL INDUCTION AND LINEAR INEQUATIONS

    PATHFINDER|Exercise QUESTION BANK|14 Videos

Similar Questions

Explore conceptually related problems

How many 4-digit numbers can be formed by using the digits 1 to 9 if repetition of digits is not allowed?

How many numbers can be formed from the digits 1, 2, 3, 4 when repetition is not allowed?

How many numbers lying between 3000 and 4000 can be formed with the digits 0,1,2,3.4 , if repetitions of digits being allowed ?

How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that  (i) repetition of the digits is allowed? (ii) repetition of the digits is not allowed?

How many different numbers of 4 digits can be formed from the digits 0, 1, 2, ...9 if repetition is allowed.

How many numbers lying between 100 and 1000 can be formed with the digits 0, 1, 2, 3, 4, 5, if the repetition of the digits is not allowed?

A vehicle registration number consists of 2 letters of english alphbets followed by 4 digits ,where the first digit is not zero . Then the total number of vehicles with distinct registration number is -

How many numbers of five digits can be formed from the numbers 0,1,2,3,4 when repetition of digits is not allowed ?

How many numbers lying between 3000 and 4000 can be formed with the digits 1,2,3,4,5 and 6? (No repetition of digit is allowed .)

If none of the digits 3,5,7,8,9 be repeated , how many different numbers greater than 7000 can be formed with them ?

PATHFINDER-PERMUTATION AND COMBINATIONS-QUESTION BANK
  1. How many seven-digit numbers are there, the sum of whose digit is even...

    Text Solution

    |

  2. How many five-digit telephone numbers are there, the sum of whose digi...

    Text Solution

    |

  3. How many 4 digit numbers can be formed from the digits 1, 1, 2, 2, 3, ...

    Text Solution

    |

  4. Find the number of students to be selected at a time from a group of 1...

    Text Solution

    |

  5. Find the sum of the five digit numbers formed by the digits 2, 3, 4, 5...

    Text Solution

    |

  6. A boat has a crew of 8 men of which 2 can row only on one side and onl...

    Text Solution

    |

  7. Show that the total number of selection that can be made out of the le...

    Text Solution

    |

  8. A committee of 5 is to be formed from 9 women and 8 men. if the commit...

    Text Solution

    |

  9. A 5-digit number is divisible by 3 and it is formed by using 0, 1, 2, ...

    Text Solution

    |

  10. Find the number of (i) Combination (ii) Permutation of the letters of...

    Text Solution

    |

  11. Find the number of ways in which a selection of four letters can be ma...

    Text Solution

    |

  12. Find the word in 50th position in the dictionary when the letters of t...

    Text Solution

    |

  13. How many ways n distinct objects be placed in 2 different boxes so tha...

    Text Solution

    |

  14. How many ways the three angular points of a regular decagon can be sel...

    Text Solution

    |

  15. Find the number of words that can be made by writing down the letters ...

    Text Solution

    |

  16. In an election the number of contestants is one more than the number o...

    Text Solution

    |

  17. Find the number of combinations and Permutations of 4 letters taken fr...

    Text Solution

    |

  18. In how many ways a committee of 6 can be formed from a group of 10 doc...

    Text Solution

    |

  19. Car licenses of a certain place consist of 3 letters followed by 3 dig...

    Text Solution

    |

  20. Find the number of ways in which the letters of the word 'STATISTICS' ...

    Text Solution

    |