Home
Class 11
MATHS
if n objects are arranged in a row then ...

if n objects are arranged in a row then the number of ways of selecting three of these objects so that no two of them are next to each other is

A

`{(n-2)(n-3)(n-4)}/6`

B

`.^(n-2)c_3`

C

`.^(n-3)c_3+^(n-3)c_2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • PARABOLA, ELLIPSE AND HYPERBOLA

    PATHFINDER|Exercise QUESTION BANK|66 Videos
  • PERMUTATION AND COMBINATIONS

    PATHFINDER|Exercise QUESTION BANK|81 Videos

Similar Questions

Explore conceptually related problems

If n objects are arrange in a row, then the number of ways of selecting three of these objects so that no two of them are next to each other is a. "^(n-2)C_3 b. "^(n-3)C_2 c. "^(n-3)C_3 d. none of these

Ten persons are arranged in a row . The number of ways of selecting four persons so that no two persons sitting next to each other's are selected is

Find the number of ways of selecting 3 pairs from 8 distinct objects.

20 persons are sitting in a particular arrangement around a circular table. Three persons are to be selected for leaders. The number of ways of selection of three persons such that no two were sitting adjacent to each other is a. 600 b. 900 c. 800 d. none of these

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

The number of ways in which the letters of the word ARRANGE be arranged so that the two R's are never together.

The number of selection of n objects from 2n objects of which n are identical and the rest are different is

Find the number of ways of disturbing n identicalobjects among n persons if at least n-3 persons get none of these objects.

Find the number of ways in which 5 boys and 5 girls be seated in a row so that no two girls sit together

If N denotes the number of ways of selecting r objects of out of n distinct objects (rgeqn) with unlimited repetition but with each object included at least once in selection, then N is equal is a. .^(r-1)C_(r-n) b. .^(r-1)C_n c. .^(r-1)C_(n-1) d. none of these

PATHFINDER-PERMUTATION AND COMBINATION-QUESTION BANK
  1. Ten persons amongst whom are A,B and C are to speak at a function the ...

    Text Solution

    |

  2. (10!)=(2)^p.(3)^q.(5)^r.(7)^8 then

    Text Solution

    |

  3. if n objects are arranged in a row then the number of ways of selectin...

    Text Solution

    |

  4. Different words are being formed by arranging the letters of the word ...

    Text Solution

    |

  5. Different words are being formed by arranging the letters of the word ...

    Text Solution

    |

  6. Let p be a prime number and n be a positive integer then exponent of p...

    Text Solution

    |

  7. Let p be a prime number and n be a positive integer then exponent of p...

    Text Solution

    |

  8. No.of ways to distribute n balls into r boxes is

    Text Solution

    |

  9. Match List - I with List - II

    Text Solution

    |

  10. The least value of n for which ^(n-1)c3+^(n-1)c4gt ^nc3 is

    Text Solution

    |

  11. The letters of the word 'SALOON' are arranged in all possible ways the...

    Text Solution

    |

  12. number of words that can be formed with the letters of the word ALGEBR...

    Text Solution

    |

  13. The sum of the digits in the tenth place of all numbers formed with th...

    Text Solution

    |

  14. The letters of the word PATNA are arranged in all possible ways as in ...

    Text Solution

    |

  15. The number of words can be formed with the letters of the word PATALIP...

    Text Solution

    |

  16. The number of integral solutions of a+b+c=0 ,age(-5),bge(-5),cge(-5) i...

    Text Solution

    |

  17. if the letters of the word SCHOOL are arranged as in a dictionary then...

    Text Solution

    |

  18. If the number of all numbers less than 2000000 which can be written us...

    Text Solution

    |

  19. if the sum of the digits occuring in units place of all the 5 digits n...

    Text Solution

    |

  20. How many different words can be formed with the letters of the word OR...

    Text Solution

    |