Home
Class 11
MATHS
Among the 8! [permutations of the digi...

Among the 8! [permutations of the digits 1, 2, 3..., 8, consider those arrangements which have the following property. If we take any five consecutive positions the product of the digits in these positions is divisible by 5. The number of such arrangements is equal to a. `7!` b. `2.(7!)` c.`7C_4` d. none of these

Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    CENGAGE PUBLICATION|Exercise All Questions|177 Videos

  • PROBABILITY

    CENGAGE PUBLICATION|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

The number of even divisor of the number N=12600=2^3 3^2 5^2 7 is a. 72 b. 54 c. 18 d. none of these

If a seven digit number made up of all distinct digits 8,7,6,4,2,x and y is divisible by 3 then

The sum of all two digit positive numbers which when divided by 7 yield 2 or 5 as remainder is:

Number of 4 digit numbers which are divisible by 4 that can be formed from the digits 1,2,3,4 and 5 is

Total number of six-digit number in which all and only odd digits appear is a. 5/2(6!) b. 6! c. 1/2(6!) d. none of these

Show that, if n be any positive integer greater than 1, then (2^(3n) - 7n - 1) is divisible by 49.

For any positive integer n,3^(2n)+7 is divisible by 8 . Prove by mathematical induction .

A 2n digit number starts with 2 and all its digits are prime, then the probability that the sum of all 2 consecutive digits of the number is prime is a. 4xx2^(3n) b. 4xx2^(-3n) c. 2^(3n) d. none of these

A five digit number is formed with the digits 1,2,3,4,5 without repetition. Find the probability that the number is divisible by 4.

In the decimal system of numeration of six-digit numbers in which the sum of the digits is divisible by 5 is a. 180000 b. 540000 c. 5xx10^5 d. none of these

CENGAGE PUBLICATION-PERMUTATIONS AND COMBINATIONS-All Questions
  1. The total number of six-digit natural numbers that can be made with...

    Text Solution

    |

  2. Total number of six-digit number in which all and only odd digits a...

    Text Solution

    |

  3. Among the 8! [permutations of the digits 1, 2, 3..., 8, consider tho...

    Text Solution

    |

  4. The total number of ways of selecting two numbers from the set {1,2...

    Text Solution

    |

  5. The total number of times, the digit 3 will be written when the int...

    Text Solution

    |

  6. The total number of divisor of 480 that are of the form 4n+2,ngeq0,...

    Text Solution

    |

  7. The total number of ways of selecting six coins out of 20 one-rupee ...

    Text Solution

    |

  8. In how many ways can 17 persons depart from railway station in 2 ca...

    Text Solution

    |

  9. The number of ways in which three distinct numbered in an increasing A...

    Text Solution

    |

  10. Let f(n ,k) denote the number of ways in which k identical balls c...

    Text Solution

    |

  11. In a polygon, no three diagonals are concurrent. If the total number...

    Text Solution

    |

  12. Straight lines are drawn by joining m points on a straight line of ...

    Text Solution

    |

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

    Text Solution

    |

  14. The sum of all the numbers of four different digits that can be mad...

    Text Solution

    |

  15. The sum of digits in the unit's place of all numbers formed with th...

    Text Solution

    |

  16. A person has n friends. The minimum value of n so that a person can in...

    Text Solution

    |

  17. There are n distinct white and n distinct black ball. If the number ...

    Text Solution

    |

  18. Numbers from 1 to 1000 are divisible by 60 but not by 24 is .

    Text Solution

    |

  19. If the number of ways in which the letters of the word ABBCABBC can...

    Text Solution

    |

  20. A class has three teachers, Mr. P , Ms. Q, and Mrs. R and six stude...

    Text Solution

    |