Home
Class 12
MATHS
How many six-digit numbers are there in ...

How many six-digit numbers are there in which no digit is repeated, even digits appear at even places, odd digits appear at odd places and the number is divisible by `4` ?

A

`3600`

B

`2700`

C

`2160`

D

`1440`

Text Solution

Verified by Experts

The correct Answer is:
D
`(d)` The number formed by last two digits must be divisible by `4`.

`3xx3xx4xx4xx5xx2=1440`
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION AND COMBINATION

    CENGAGE|Exercise Multiple Correct Answer|2 Videos

  • PERMUTATION AND COMBINATION

    CENGAGE|Exercise Comprehension|8 Videos

  • PARABOLA

    CENGAGE|Exercise Question Bank|21 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    CENGAGE|Exercise Exercise|9 Videos

Similar Questions

Explore conceptually related problems

How many 4 -digit numbers are there with no digit repeated?

How many three digit numbers are there with no digit repeated?

How many 3-digit numbers are there with no digit repeated?

How many 3-digit numbers are there with no digit repeated?

How many three digit numbers are there,with no digit repeated.

How many three digit numbers are there in which all the digits are odd?

How many 6-digit numbers have at least 1 even digit?

How many two digit numbers are there in which the tens digit and the units digit are different and odd?

How many 3 digit numbers are there,with distinct digits,with each digit odd?

How many 6-digit numbers have all their digits either all odd or all even?

CENGAGE-PERMUTATION AND COMBINATION-Question Bank
  1. How many six-digit numbers are there in which no digit is repeated, ev...

    Text Solution

    |

  2. If the number of ways in which a selection of 100 balls can be made ou...

    Text Solution

    |

  3. If the number of circular permutations of 20 letters P, Q, R, S, T , A...

    Text Solution

    |

  4. Let N be the number of points (x, y, z) in space such that x+y+z=12, w...

    Text Solution

    |

  5. On the sides A B, B C, C A of a triangle A B C, 3,4,5 distinct points ...

    Text Solution

    |

  6. The number of ways in which the letters of the word 'LONDON' can be re...

    Text Solution

    |

  7. We have 19 identical gems available with us which are needed 'to be di...

    Text Solution

    |

  8. If ' N ' denotes the number of ways in which 8 different mobilès can b...

    Text Solution

    |

  9. If the number of arrangements of 4 alike apples, 5 alike mangoes, 1 ba...

    Text Solution

    |

  10. Duronto express bound from Jaipur to Mumbai stops at 7 intermediate st...

    Text Solution

    |

  11. There are 6 different balls and 6 different boxes of the colour same a...

    Text Solution

    |

  12. Consider M=2^(4) 3^(4) 5^(2) 7^(2) 11^(2) and number of ways in which ...

    Text Solution

    |

  13. Consider the word 'HALEAKALA'. The number of ways the letters of this ...

    Text Solution

    |

  14. Consider the word 'CARCASSONNE'. Words are formed' using all the lette...

    Text Solution

    |

  15. If (201) ! is divided by 24^(k) then the largest value of k is

    Text Solution

    |

  16. If there are 10 stations on a route and the train has to be stopped at...

    Text Solution

    |

  17. Let A={1,2,3,4] . The number of different ordered pairs (B, C) that ca...

    Text Solution

    |

  18. Number of ways in which three distinct numbers can be selected between...

    Text Solution

    |

  19. Matrices are formed using four given distinct real numbers, taking all...

    Text Solution

    |

  20. If n is a factor of 72 , such that x y=n, then number of ordered pairs...

    Text Solution

    |