Home
Class 12
MATHS
The number of 'n' digit numbers such tha...

The number of 'n' digit numbers such that no two consecutive digits are same is

A

`n!`

B

`9!`

C

`9^(n)`

D

`n^(9)`

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS & COMBINATIONS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL II|23 Videos

  • PERMUTATIONS & COMBINATIONS

    FIITJEE|Exercise COMPREHENSIONS|9 Videos

  • PERMUTATIONS & COMBINATIONS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) LEVEL -II|15 Videos

  • PARABOLA

    FIITJEE|Exercise NUMERICAL BASED|5 Videos

  • PROBABILITY

    FIITJEE|Exercise Exercise 7|2 Videos

Similar Questions

Explore conceptually related problems

The number of 5-digit numbers in which no two consecutive digits are identical, is

The number of three digit numbers having only two consecutive digits identical is

The number of three-digit numbers having only two consecutive digits identical is

Find the total number of n -digit number (n>1) having property that no two consecutive digits are same.

The number of three-digit numbers having only two consecutive digit identical N, then the value of (N/2)^(1/2) is

Let N be the number of 4 digit numbers formed with at most two distinct digits.Then the last digit of N is

How many numbers of n digits can be made with the non-zero digits in which no two consecutive digits are the same?

FIITJEE-PERMUTATIONS & COMBINATIONS-ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL I
  1. The number of ways in which a committee of 3 women and 4 men be chosen...

    Text Solution

    |

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

    Text Solution

    |

  3. Two numbers are chosen from 1,3,5,7,…147, 149 and 151 multiplied toget...

    Text Solution

    |

  4. Four men and six women are to be seated along a round table. The numbe...

    Text Solution

    |

  5. Let A={x(1),x(2),x(3)....,x(7)},B={y(1)y(2)y(3)}. The total number of ...

    Text Solution

    |

  6. Q) The number ofpositive integer pairs (x, y) such that 1/x+1/y=1/2007...

    Text Solution

    |

  7. The total number of positive integral solution of 15<x1+x2+x3lt=20 is ...

    Text Solution

    |

  8. The number of n-digit numbers which contain the digits 2 and 7, but no...

    Text Solution

    |

  9. The number of 'n' digit numbers such that no two consecutive digits ar...

    Text Solution

    |

  10. The number of divisors of 3630, which have a remainder of 1 when divid...

    Text Solution

    |

  11. Total number of ways of factorising the number of 676 in to two factor...

    Text Solution

    |

  12. There are 10 greetings cards, each of a different colour and 10 envelo...

    Text Solution

    |

  13. The number of selections of n things from three piles, one consisting ...

    Text Solution

    |

  14. A seven digit number made up of all distinct digits 8,7,6,4,2,x and y ...

    Text Solution

    |

  15. The number of integers between 1 and 1000 having their sum of digits e...

    Text Solution

    |

  16. Number of positive unequal integral solution of the equationi x+y+z=6 ...

    Text Solution

    |

  17. Two teachers are interviewing top 6 students in FTRE exam, in two diff...

    Text Solution

    |

  18. If a man climbs either one step or two steps at a time, the total numb...

    Text Solution

    |

  19. Statement -1: The expression n!(20-n)! is minimum when n=10. because...

    Text Solution

    |

  20. Statement -1: If a,b,c are the integers such that a+b+cle8, then the n...

    Text Solution

    |