Home
Class 12
MATHS
A tea party is arranged for 16 peopl...

A tea party is arranged for 16 people along two sides of a long table with 8 chairs on each side . Four men wish to sit on one particular side and two on the other side the number of ways that they can be seated is

A

`""^(10)C_(4)`

B

`8 !`

C

`""^(10)C_(4)*8 !`

D

`""^(10)C_(4)*(8!)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise Probability|34 Videos

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise Random Variable|17 Videos

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise Sequence and series|12 Videos

  • AREAS

    AAKASH SERIES|Exercise Exercise-3.2|21 Videos

Similar Questions

Explore conceptually related problems

A boats crew consists of 16 men , 6 of whom can only row on one side and 4 only on the other . The number of ways in which the crew be arranged 8 on each side is

The crew of an 8 oar boat is to be choosen from 12 men of whom 3 can row always on the stroke side only. The number of ways in which the crew can be arranged is

The sum of any two sides of a triangle must be __ the third side.

A boat is to be manned by 9 crew with 4 on the stroke side, 4 on the row side and one to steer. There are 11 men of which 2 can stroke only and 1 can row only while 3 can steer only. The number of ways the crew can be arranged for the boat is

Find the number of ways of arranging 7 guests and a host around a circle if 2 particular guests wish to sit on either side of the host.

If x is the number of ways in which six women and six men can be arranged to sit in a row such that no two women are together and if y is the number of ways they are seated around a table in the same manner, then x:y=

A family consistinf of an old man 6 adults and 4 children , is to be seated in a row for dinner . The children wish to occupy the two seats at each end and the old man refuses to have a child on either side of him . The number of ways that the seating arrangements can be made for the dinner is

12 persons are to be arranged to a round table . If two particular persons among them are not to be side by side then the the total number of arrangements is

The number of ways in which 8 men be arranged round a table so that 2 particular men may not be next to each other is

AAKASH SERIES-APPENDICES (REVISION EXERCISE)-Combinations
  1. ""^(m)C(r+1)+ sum(k=m)^(n)""^(k)C(r) is equal to :

    Text Solution

    |

  2. The value of ""^(40) C(31) + sum (r = 0)^(10) ""^(40 + r) C(10 +r) is...

    Text Solution

    |

  3. A boat's crew consists of 8 men, 3 of whom can only row on one side, 2...

    Text Solution

    |

  4. A tea party is arranged for 16 people along two sides of a lon...

    Text Solution

    |

  5. There are 12 points in a plane of which no three points are collinear ...

    Text Solution

    |

  6. In a crossword puzzle 10 words are to be guessed of which 5 words ha...

    Text Solution

    |

  7. A gentlemen hosts a party of (m+n) guests and places 'm' at one round ...

    Text Solution

    |

  8. There are n straight lines in a plane, no two of which are parallel an...

    Text Solution

    |

  9. Total number of ways in which n^(2) number of identical balls can be ...

    Text Solution

    |

  10. The number of ways in which an examiner can assign 30 marks to 8 quest...

    Text Solution

    |

  11. A committee of 4 persons is to be formed from 2 ladies 2 old man and 4...

    Text Solution

    |

  12. On the sides AB,BC,CA of triangle AB, 3,4,5 distinct points (excluding...

    Text Solution

    |

  13. Two women and some men participated in a chess tournament in which ev...

    Text Solution

    |

  14. A set B contain 2007 elements. Let C be the set consisting of subsets ...

    Text Solution

    |

  15. A parallelogram is cut by two set of n parallel lines, parallel to the...

    Text Solution

    |

  16. Let A be a set containing ten elements. Then the number of subsets of ...

    Text Solution

    |

  17. The maximum possible number of points of intersection of 8 straight l...

    Text Solution

    |

  18. A committee consisting of at least three members is to be formed from...

    Text Solution

    |

  19. The least positive integral value of x for which ""^(10)C(x-1)gt2(""...

    Text Solution

    |

  20. The number of integers greater than 6,000 that can be formed, using ...

    Text Solution

    |