Home
Class 12
MATHS
A five digit number divisible by 3 is to...

A five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5, without repetition. The total number of ways this can be done, is

A

216

B

240

C

600

D

3125

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    ML KHANNA|Exercise SET-3 TRUE OF FALSE|3 Videos

  • PERMUTATIONS AND COMBINATIONS

    ML KHANNA|Exercise SET-4 MCQ|80 Videos

  • PERMUTATIONS AND COMBINATIONS

    ML KHANNA|Exercise SET -2 FILL IN THE BLANKS|8 Videos

  • PARTIAL FRACTION

    ML KHANNA|Exercise PROBLEM SET-1 (FILL IN THE BLANKS)|8 Videos

  • PROBABILITY

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE|6 Videos

Similar Questions

Explore conceptually related problems

A five-digit number divisible by 3 is to be formed using the digits 0,1,2,3,4, and 5 , without repetition.The total number of ways this can done is (a) 216 (b) 240(c) 600 (d) 3125

44. A 5 digit number divisible by 3 is to be formedusing the digits 0, 1,2,3,4,5 without repetition.The total number of ways this can be done is1) 120 2)96 3)216 4) 220

A five-digit number divisible by 3 is to be formed using the digits 0,1,2,3 and 4 without repetition of digits. What is the number of ways this can be done ?

Statement-1: A 5-digit number divisible by 3 is to be formed using the digits 0,1,2,3,4,5 without repetition, then the total number of ways this can be done is 216. Statement-2: A number is divisible by 3, if sum of its digits is divisible by 3.

ML KHANNA-PERMUTATIONS AND COMBINATIONS -SET-3
  1. A seven digit number made up of all distinct digits 8,7,6,4,2,x and y ...

    Text Solution

    |

  2. The number of positive integral solutions of x1x2x3x4=630 is

    Text Solution

    |

  3. The number of ways in which we can select four numbers from 1 to 30 so...

    Text Solution

    |

  4. The number of division of 2^6. 3^5 . 5^3. 7^4 11 is equal to

    Text Solution

    |

  5. The sum of all the proper divisors of 9900 is

    Text Solution

    |

  6. The sum of the divisors of 2^(5)xx3^(4)xx5^(2), is

    Text Solution

    |

  7. Number of divisors of the form 4n + 2, n ge 0 which can divide 240 is ...

    Text Solution

    |

  8. The number of divisors of 441, 1125 and 384 are in

    Text Solution

    |

  9. The sum of digits in the units place of all numbers formed with the...

    Text Solution

    |

  10. The sum of all 4 digit number that can be formed by using the digits 2...

    Text Solution

    |

  11. The number of +ve integers which can be formed by using any number of ...

    Text Solution

    |

  12. How many numbers greater than 1000 but not greater than 4000 can be fo...

    Text Solution

    |

  13. How many numbers greater than 10 lacs be formed from 2,3,0,3,4,2,3? 42...

    Text Solution

    |

  14. A five digit number divisible by 3 is to be formed using the numerals ...

    Text Solution

    |

  15. Five digit numbers divisible by 9 are to be formed by using the digits...

    Text Solution

    |

  16. How many even numbers are there with three digits such that if 5 is...

    Text Solution

    |

  17. Three digit numbers are to be formed out of natural numbers 1 to 9 so ...

    Text Solution

    |

  18. The number of numbers greater than 23000 can be formed the digits 1 2 ...

    Text Solution

    |

  19. Howe many different numbers, greater than 50000 can be formed with eh ...

    Text Solution

    |

  20. The numbers of six digit numbers that can be formed from the digits 1 ...

    Text Solution

    |