Home
Class 12
MATHS
There are 100 different books in a shelf...

There are 100 different books in a shelf. Number of ways in which 3 books can be selected which are not neighbours is

A

`""^(100)C_(3) - 98`

B

`""^(97)C_(3) `

C

`""^(96)C_(3)`

D

`""^(98)C_(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • THEORY AND EXERCISE BOOK

    MOTION|Exercise EXERCISE - 2 (LEVEL -II)|18 Videos

  • THEORY AND EXERCISE BOOK

    MOTION|Exercise EXERCISE -3|23 Videos

  • THEORY AND EXERCISE BOOK

    MOTION|Exercise EXERCISE - 4 (LEVEL -II)|22 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

There are 100 differents books in a self. Number of ways in which 3 books can be selected so that no two of which are neighbours is 98C_(k) is

There are 10 different books in a shelf. The number of ways in which three books can be selected so that exactly two of them are consecutive is

There are 10 different books in a shelf. In how many ways we can select atleast one of them ?

A shopkeeper has 11 copies each of nine different books, then the number of ways in which atleast one book can be selected is

A shopkeeper has 10 copies of each of nine different books, then number of ways in which atleast one book can be selected is

A shopkeeper has 10 copies of each of nine different books,then number of ways in which at least one book can be selected is

The number of ways in which n books can be arranged so that two particular books are not together is

In a shelf there are 10 English and 8 Telugu books.The number of ways in which 6 books can be chosen if a particular English book is excluded and a particular Telugu book is excluded is

MOTION-THEORY AND EXERCISE BOOK-EXERCISE -2 (LEVEL - I)
  1. How many ways are there to arrange the letters in the word GARDEN with...

    Text Solution

    |

  2. If the letters of the word SACHIN are arranged in all possible ways...

    Text Solution

    |

  3. Numbers greater than 1000 but less than 4000 are formed using the digi...

    Text Solution

    |

  4. Total number of four digit odd numbers that can be formed by using 0, ...

    Text Solution

    |

  5. Fifty college teachers are surveyed as to their possession of colour T...

    Text Solution

    |

  6. The number of ways in which 6 men and 5 women can dine at a round tabl...

    Text Solution

    |

  7. Three vertices of a convex n sided polygon are selected. If the number...

    Text Solution

    |

  8. There are 12 guests at a dinner party. Supposing that the master and m...

    Text Solution

    |

  9. Let P(n) denotes the number of ways of selecting 3 people out of 'n' s...

    Text Solution

    |

  10. If ""(n)C(r) denotes the number of combinations of n different things ...

    Text Solution

    |

  11. A student is to answer 10 out of 13 questions in an examination such t...

    Text Solution

    |

  12. There are 100 different books in a shelf. Number of ways in which 3 bo...

    Text Solution

    |

  13. Find the number of positive integral solutions satisfying the equation...

    Text Solution

    |

  14. The number of ways of distributing 8 identical balls in 3 distinct box...

    Text Solution

    |

  15. Find the number of groups that can be made from 5 different green ball...

    Text Solution

    |

  16. Find the number of ways of dividing 52 cards among four players equ...

    Text Solution

    |

  17. In how many ways can 8 different books be distributed among 3 students...

    Text Solution

    |

  18. The sum of all numbers greater than 1000 formed by using the digits 1,...

    Text Solution

    |

  19. Distinct 3 digit numbers are formed using only the digits 1,2,3,4 wit...

    Text Solution

    |

  20. The sum of integers from 1 to 100 that are divisible by 2 or 5 is

    Text Solution

    |