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)xx8!`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS & COMBINATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONS ) SET -1|9 Videos
  • PERMUTATIONS & COMBINATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONS ) SET -2|5 Videos
  • PERMUTATIONS & COMBINATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A (PERMUTATIONS )|199 Videos
  • PARTIAL FRACTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|2 Videos
  • PROBABILITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET-4|5 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

DIPTI PUBLICATION ( AP EAMET)-PERMUTATIONS & COMBINATIONS-EXERCISE 1B (COMBINATIONS )
  1. A boat is to be manned by 9 crew with 4 on the stroke and 4 on...

    Text Solution

    |

  2. There are 12 boys to be seated on 2 benches , 6 on each lenc...

    Text Solution

    |

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

    Text Solution

    |

  4. A gentlemen invites a party of 10 guests to a dinner and places...

    Text Solution

    |

  5. Out of 7 consonants and 5 vowels how many different words can...

    Text Solution

    |

  6. The number of words which can be formed with two different con...

    Text Solution

    |

  7. From 6 different novels and 3 different dictionaries , 4 novels a...

    Text Solution

    |

  8. If there are 5 perids in each working day of a school , then th...

    Text Solution

    |

  9. IF there are 6 periods in each working day of a school , then ...

    Text Solution

    |

  10. The number of 6 digit number which contains only odd digits an...

    Text Solution

    |

  11. The number of different seven digit number that can be written...

    Text Solution

    |

  12. The number of 5 digits numbers of different digits can be form...

    Text Solution

    |

  13. The number of ways in which 6 Telugu, 4 Hindi and 3 English books be p...

    Text Solution

    |

  14. How many three digit number can be formed using digits 1-9 no digits a...

    Text Solution

    |

  15. a man has 4 friends , in how many ways can he inivite one or ...

    Text Solution

    |

  16. The number of ways in which a man can invite one or more of hi...

    Text Solution

    |

  17. The number of ways of selections one or more out of 7 given t...

    Text Solution

    |

  18. There are 10 lamps in a hall . Each one of them can be swith...

    Text Solution

    |

  19. How many different sums can be formed with the following coins ...

    Text Solution

    |

  20. In a cross word puzzle 25 words are to be gussed of which 5 ...

    Text Solution

    |