Home
Class 12
MATHS
A five-digit numbers divisible by 3 is t...

A five-digit numbers divisible by 3 is to be formed using the numberals 0, 1,2,3,4 and 5, without repetition. Find the total number of ways in which this can be done.

A

216

B

600

C

240

D

3125

Text Solution

Verified by Experts

The correct Answer is:
A
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

A 5-digit number divisible by 3 is to be formed using the number 0,1,2,3,4 and 5 without repetiition. Find total of ways in whiich this can be done.

A five digit number divisible by 3 is to be formed using the digits 0,1,2,3,4 and 5 without repetitioon. If the tota number of ways in which this casn bedone is n^3, then |__n= (A) 720 (B) 120 (C) 48 (D) 12

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 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 five digit number divisible by 3 is to be formed using the digits 0,1,3,5,7,9 without repetitions. The total number of ways this can be done is

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.

A five digits number divisible by 3 is to be formed using the number 0,1,2,3,4 and 5 without repetition. The number of such numbers are m^(3) then m is equal to

A three-digit number is to be formed using the digits 0, 1, 2, 3, 4, and 5, without repetition.

An eight digit number divisible by 9 is to be formed using digits from 0 to 9 without repeating the digits. The number of ways in which this can be done is

Five digit number divisible by 3 is formed using 0 1 2 3 4 6 and 7 without repetition Total number of such numbers are

VMC MODULES ENGLISH-PERMUTATION & COMBINATION-JEE ARCHIVE
  1. A five-digit numbers divisible by 3 is to be formed using the numberal...

    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

    |