Home
Class 12
MATHS
Let a(n) denote the number of all n-digi...

Let `a_(n)` denote the number of all n-digit numbers formed by the digits 0,1 or both such that no consecutive digits in them are 0. Let `b_(n)` be the number of such n-digit integers ending with digit 1 and let `c_(n)` be the number of such n-digit integers ending with digit 0. Which of the following is correct ?

A

7

B

8

C

9

D

11

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THEORY AND EXERCISE BOOK

    MOTION|Exercise EXERCISE -4 LEVEL -I|13 Videos
  • TANGENT & NORMAL

    MOTION|Exercise EXERCISE 4|14 Videos
  • THREE DIMENSIONAL GEOMETRY (3 -D)

    MOTION|Exercise SOLVED EXAMPLE|33 Videos

Similar Questions

Explore conceptually related problems

n-digit number

Let a_n denote the number of all n-digit positive integers formed by the digits 0, 1, or both such that no consecutive digits in them are 0. Let b_n= The number of such n-digit integers ending with digit 1 and c_n= Then number of such n-digit integers with digit 0. The value of b_6 is

If N is the number of three digit numbers of the form abc such that a

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

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

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

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

MOTION-THEORY AND EXERCISE BOOK-EXERCISE - 4 (LEVEL -II)
  1. Using permutation or otherwise, prove that (n^2)!/(n!)^n is an integer...

    Text Solution

    |

  2. r, s, t are prime numbers and p, q are natural numbers such that LCM o...

    Text Solution

    |

  3. The letters of the word COCHIN are permuted and all the permutation...

    Text Solution

    |

  4. Consider all possible permutations of the letters of the word ENDEANOE...

    Text Solution

    |

  5. The number of seven digit integers, with sum of the digits equal to 10...

    Text Solution

    |

  6. Let S={1,,2,34} . The total number of unordered pairs of disjoint s...

    Text Solution

    |

  7. The total number of ways in which 5 balls of differ- ent colours can b...

    Text Solution

    |

  8. Let a(n) denote the number of all n-digit numbers formed by the digits...

    Text Solution

    |

  9. Let a(n) denote the number of all n-digit numbers formed by the digits...

    Text Solution

    |

  10. Consider the set of eight vector V={a hat i+b hat j+c hat k ; a ,bc in...

    Text Solution

    |

  11. A pack contains n cards numbered from 1 to n. Two consecutive numbered...

    Text Solution

    |

  12. Let ngeq2 be integer. Take n distinct points on a circle and join each...

    Text Solution

    |

  13. Let n1<n2<n3<n4<n5 be positive integers such that n1+n2+n3+n4+n5=20...

    Text Solution

    |

  14. Let n be the number of ways in which 5 boys and 5 girls can stand in a...

    Text Solution

    |

  15. A debate club consists of 6 girls and 4 boys. A team of 4 members is t...

    Text Solution

    |

  16. How many 3xx3 matrices M with entries from {0,1,2} are there, for whic...

    Text Solution

    |

  17. Word of length 10 are formed using the letters A,B,C,D,E,F,G,H,I,J....

    Text Solution

    |

  18. In a high school, a commintee has to be formed from a group of 6 boys ...

    Text Solution

    |

  19. The number of 5 digit numbers which are divisible by 4, with digits ...

    Text Solution

    |

  20. Let X=(\ ^(10)C1)^2+2(\ ^(10)C2)^2+3(\ ^(10)C3)^2+\ ddot\ +10(\ ^(10)C...

    Text Solution

    |