Home
Class 12
MATHS
The number of numbers less than 1000 tha...

The number of numbers less than 1000 than can be formed out of the digits 0,1,2,3,4 and 5, no digit being repeated, as

A

130

B

131

C

156

D

158

Text Solution

Verified by Experts

The correct Answer is:
B
`6+5xx5+5xx5xx4=131`.
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|10 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|15 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise For Session 7|5 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos

Similar Questions

Explore conceptually related problems

Find the number of 4-digit numbersthat can be formed using the digits 1, 2, 3, 4, 5 if no digit is repeated. How many of these will be even?

How many numbers greater than 56000 can be formed by using the digits 4, 5, 6,7, 8, no digit being repeated in any number ?

The number of integers greater than 6,000 that can be formed, using the digits 3, 5, 6, 7 and 8, without repetition, is : (1) 216 (2) 192 (3) 120 (4) 72

How many different 6-digit numbers can be formed with the digits 0, 1, 3, 5, 7 and 9 ? (No digit being 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 ?

How many numbers greater than 1000000 can be formed by using the digits 1, 2,0, 2,4, 2,4?

How many numbers between 20,000 and 30,000 can be formed by using the digits 2, 3, 5,6,7, if each digit may be repeated any number of times in any number ?

How many 4 digits numbers can be formed from the digits 1 to 9 if not digit can be repeated.

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 ?

ARIHANT MATHS-PERMUTATIONS AND COMBINATIONS -Exercise (Single Option Correct Type Questions)
  1. In a plane there are 37 straight lines, of which 13 passes through the...

    Text Solution

    |

  2. If a denotes the number of permutations of (x+2) things taken all at a...

    Text Solution

    |

  3. The number of numbers less than 1000 than can be formed out of the dig...

    Text Solution

    |

  4. If the permutations of a, b, c, d, e taken all together be written dow...

    Text Solution

    |

  5. On a railway there are 20 stations. The number of different tickets re...

    Text Solution

    |

  6. State { 2 ,3 , 4 } is a subset of { 1 , 2 , 3, 4 , 5 } ?

    Text Solution

    |

  7. The straight lines I(1),I(2),I(3) are parallel and lie in the same pla...

    Text Solution

    |

  8. Let A be a set of n (>=3) distinct elements. The number of triplets (x...

    Text Solution

    |

  9. The total number of five-digit numbers of different digits in which ...

    Text Solution

    |

  10. The total number of words that can be formed using all letters of the ...

    Text Solution

    |

  11. A man has three friends. The number of ways he can invite one frien...

    Text Solution

    |

  12. The number of three digit numbers of the form xyz such that x lt y , z...

    Text Solution

    |

  13. The letters of the word 'MEERUT' are arranged in all possible ways as ...

    Text Solution

    |

  14. Find the number of ways in which 10 condidates A(1),A(2),......,A(10) ...

    Text Solution

    |

  15. Let A be the set of 4-digit numbers a1 a2 a3 a4 where a1 > a2 > a3 > a...

    Text Solution

    |

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

    Text Solution

    |

  17. Find the total number of positive integral solutions for (x,y,z) such ...

    Text Solution

    |

  18. ABCD is a convex quadrilateral and 3, 4, 5, and 6 points are marked ...

    Text Solution

    |

  19. In how many ways can a team of 6 horses be selected out of a stud o...

    Text Solution

    |

  20. The number of polynomials of the form x^(3)+ax^(2)+bx+c that are divis...

    Text Solution

    |