Home
Class 11
MATHS
The number of nine nonzero digits such t...

The number of nine nonzero digits such that all the digits in the first four places are less than the digit in the middle and all the digits in the last four places are greater than that in the middle is a. `2(4!)` b. `3(7!)//2` c. `2(7!)` d.`^4P_4xx^4P_4`

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

if the sum of the digits occuring in units place of all the 5 digits numbers that can be formed by using all the digits 1,2,3,4,5 is n then n/360 is equal to

The total number of times, the digit 3 will be written when the integers having less than 4 digits are listed is equal to a. 300 b. 310 c. 302 d. 306

How many numbers of 5 digits can be formed with the digits 0,2,5,6,7 without taking any of these digits more than once ?

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

The number of numbers that can be formed using the digits 1,2,3,4,5 (repetiton of digits is not permissible) such that the ten's digit is greater than thousand's digits, is-

The number of four-digit numbers that can be formed by using the digits 1,2,3,4,5,6,7,8 and 9 such that the least digit used is 4 , when repetition of digits is allowed is

The number of numbers that can be formed using the digits 3,4,5,6,7 (repetition of digits is not permissible ) such that the thousand's digit is always less that unit's digit is-

write greatest and least number of 8 digits with the digits given 8,9,2,4,7,3,2,1

A number of two digits is 3 more than 4 times of the sum of its digits. If the positions of the digits of the number be interchanged , then the new number thus formed is 18 more than the original number. Determine the number.

How many different number of 4 digits each (without repetition of digits) can be formed with the digits 0,1,2,3,4,5,6 so that the digits in each number are in the descending order

CENGAGE PUBLICATION-PERMUTATIONS AND COMBINATIONS-All Questions
  1. Find the number of ways in which 5A^(prime)s and 6B ' s can be arrange...

    Text Solution

    |

  2. If N is the number of different paths of length-12 which leads from ...

    Text Solution

    |

  3. The number of nine nonzero digits such that all the digits in the fi...

    Text Solution

    |

  4. Total number of words that can be formed using all letters of the w...

    Text Solution

    |

  5. The total number of five digit numbers of different digits in which th...

    Text Solution

    |

  6. The number of four-digit numbers that can be made with the digits 1...

    Text Solution

    |

  7. Total numbers formed less than 3xx10^8 and can be formed using the d...

    Text Solution

    |

  8. If all permutations of the letters in the word 'OBJECT" are arranged (...

    Text Solution

    |

  9. The total number of six-digit natural numbers that can be made with...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |