Home
Class 12
MATHS
The number of seating arrangements such ...

The number of seating arrangements such that each person has exactly one neighbour.

A

`.^(m-n)P_(n)`

B

`.^(m-n//2)P_(n//2)xxn!`

C

`.^(m-n+1)P_(n//2)xxn!`

D

`.^(m-n+1)P_(n//2)`

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS & COMBINATIONS

    FIITJEE|Exercise EXERCISE 3|3 Videos
  • PERMUTATIONS & COMBINATIONS

    FIITJEE|Exercise EXERCISE 4|2 Videos
  • PERMUTATIONS & COMBINATIONS

    FIITJEE|Exercise NUMERICAL BASED|3 Videos
  • PARABOLA

    FIITJEE|Exercise NUMERICAL BASED|5 Videos
  • PROBABILITY

    FIITJEE|Exercise Exercise 7|2 Videos

Similar Questions

Explore conceptually related problems

Ten people,including A and B, are to be seated at a rectangular table having 5 seats on each of its longer sides.The number of seating arrangements,so that A and B are neither next to each other nor directly opposite each other is :

Study the information below and answer questions based on it. A leading socialite decided to organise a dinner and invited a few of her friends. Only the host and the hostess were sitting at the opposite ends of a rectangular table, with three persons along each side. The prerequisite for the seating arrangement was that each person must be seated such that at least on one side it has a person of opposite sex. Maqbool is opposite Shobha, who is not the hostess. Ratan has a woman on his right and is sitting opposite a woman. Monisha is sitting to the hostess's right, next to Dhirubhai. One person is seated between Madhuri and Urmila who is not the hostess. The men were Maqbool, Ratan, Dhirubhai and Jackie, while the women were Madhuri, Urmila, Shobha and Monisha The eighth person present, Jackie, must be I. the host II. seated to Shoba's right III. seated opposite Urmila

Study the information below and answer questions based on it. A leading socialite decided to organise a dinner and invited a few of her friends. Only the host and the hostess were sitting at the opposite ends of a rectangular table, with three persons along each side. The prerequisite for the seating arrangement was that each person must be seated such that at least on one side it has a person of opposite sex. Maqbool is opposite Shobha, who is not the hostess. Ratan has a woman on his right and is sitting opposite a woman. Monisha is sitting to the hostess's right, next to Dhirubhai. One person is seated between Madhuri and Urmila who is not the hostess. The men were Maqbool, Ratan, Dhirubhai and Jackie, while the women were Madhuri, Urmila, Shobha and Monisha Which of the following persons is definitely not seated next to a person of the same sex?

Study the information below and answer questions based on it. A leading socialite decided to organise a dinner and invited a few of her friends. Only the host and the hostess were sitting at the opposite ends of a rectangular table, with three persons along each side. The prerequisite for the seating arrangement was that each person must be seated such that at least on one side it has a person of opposite sex. Maqbool is opposite Shobha, who is not the hostess. Ratan has a woman on his right and is sitting opposite a woman. Monisha is sitting to the hostess's right, next to Dhirubhai. One person is seated between Madhuri and Urmila who is not the hostess. The men were Maqbool, Ratan, Dhirubhai and Jackie, while the women were Madhuri, Urmila, Shobha and Monisha If Ratan would have exchanged seats with a person four places to his left, which of the following would have been true after the exchange? I. No one was seated between two persons of the opposite sex. (e.g. no man was seated between two women) II. One side of the table consisted entirely of persons of the same sex. III. Either the host or the hostess changed seats.

Study the information below and answer questions based on it. A leading socialite decided to organise a dinner and invited a few of her friends. Only the host and the hostess were sitting at the opposite ends of a rectangular table, with three persons along each side. The prerequisite for the seating arrangement was that each person must be seated such that at least on one side it has a person of opposite sex. Maqbool is opposite Shobha, who is not the hostess. Ratan has a woman on his right and is sitting opposite a woman. Monisha is sitting to the hostess's right, next to Dhirubhai. One person is seated between Madhuri and Urmila who is not the hostess. The men were Maqbool, Ratan, Dhirubhai and Jackie, while the women were Madhuri, Urmila, Shobha and Monisha If each person is placed directly opposite his or her spouse, which of the following pairs must be married ?

The total number of sitting arrangements of 7 persons in a row if one person occupies the middle seat is

10 persons are to be arranged in a circular fashion so that in no two arrangements all the persons have same neighbours. The number of ways of doing so is equal to:

Find number of seating arrangements of 6 persons at three identical round tables if every table must be the occupied

The total number of sitting arrangements of 7 persons in a row if two persons occupy the end seats is

There are fifty persons among whom 2 are brothers. The number of ways they can be arranged in a circle, if there is exactly one person between the two brothers, is

FIITJEE-PERMUTATIONS & COMBINATIONS-SOLVED PROBLEMS (OBJECTIVE)
  1. There are p coplanar parallel lines. If any 3 points are taken on each...

    Text Solution

    |

  2. The number of ways in which 9 identical balls can be placed in three i...

    Text Solution

    |

  3. N a certain test, there are n question. In the test, 2^(n-i) students ...

    Text Solution

    |

  4. The number of zeroes at the end of (127)! Is

    Text Solution

    |

  5. The number of solutions of x1 + x2 + x3 = 51 (X1, X2, X3 being odd nat...

    Text Solution

    |

  6. We have 21 identical balls available with us which we need to be distr...

    Text Solution

    |

  7. The number of ways of choosing triplet( x,y,z) such that zge"max"{x,y}...

    Text Solution

    |

  8. Let A be the set of 4-digit numbers a1 a2 a3 a4 where a1 > a2 > a3 > a...

    Text Solution

    |

  9. The number of ways in which a mixed doubles game can be arranged from ...

    Text Solution

    |

  10. Number of even divisions of 504 is

    Text Solution

    |

  11. There are m seats in the first row of a theatre, of which n are to be ...

    Text Solution

    |

  12. The number of seating arrangements such that each person has exactly o...

    Text Solution

    |

  13. Out of any seats located symmetrically about the middle of the row at ...

    Text Solution

    |

  14. If a cricket team of 11 players is to be selected from 8 batsman, 6 bo...

    Text Solution

    |

  15. If a cricket team of 11 players is to be selected from 8 batsman, 6 bo...

    Text Solution

    |

  16. Statement -1 : Let A={x x is a prime numebr < 40 then number of diff...

    Text Solution

    |

  17. Let A and D be opposite vertices of a square. A frog starts jumping at...

    Text Solution

    |

  18. Let A and B be the vertices of cube such that B is farthest away A the...

    Text Solution

    |

  19. The figures 4,5,6,7,8 are written in every possible order. The number ...

    Text Solution

    |

  20. Number of positive terms in the sequence xn=195/(4Pn)-(n+3p3)/(P(n+1))...

    Text Solution

    |