Home
Class 12
MATHS
A number of 18 guests have to be seated,...

A number of 18 guests have to be seated, half on each side of a long table. Four particular guests desire to sit on one particular side and three others on the other side. Determine the number of ways in which the sitting arrangements can be made.

Text Solution

Verified by Experts

The correct Answer is:
T
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise LEVEL-1|125 Videos
  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise LEVEL-2|88 Videos
  • MOCK TEST 9

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos
  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos

Similar Questions

Explore conceptually related problems

Eighteen guest have to be sated. Half on each side of long table. Four particlular guest desire to sit on one particular side and three others on the other side. Determine the number of ways in which seating arrangements can be made.

Eighteen guests are to be seated half on each side of a long table. Four particular guests desire to sit on particular side and three others on other side of the table. The number of ways in which the seating arrangements can be made is (i) ((11!))/((5!)(6!))((9!))^(2) (ii) ((11!))/((5!)(6!))((9!))^(2)*2! (iii) ((11!))/((5!)(6!))(2!) (iv) ((11!))/((5!)(6!))((9!))*(2!)

Out of 8 sailors on a boat, 3 can work only on one particular side and 2 only on the other side. Find the number of ways in which the sailors can be arranged on the boat.

Out of 8 sailors on a boat, 3 can work only on one particular side and 2 only on the other side. Find the number of ways in which the ways in which the sailors can be arranged on the boat.

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

7 women and 7 men are to sit round a circulartable such that there is a man on either side ofevery women. The number of seating arrangements is

A tea party is arranged for 16 persons along two sides of a long table with 8 chairs on each side. Four persons wish to sit on one particular and two on the other side. In how many ways can they be seated?

A tea party is arranged for 16 persons along two sides of a long table with 8 chairs on each side. Four persons wish to sit on one particular and two on the other side. In how many ways can they be seated?

A tea party is arranged for 2m people along two sides of a long table with m chairs on each side, r men wish to sit on one particular side and s on the other. IN how many ways can they be seates ? [r,s,lem]

A gentlemen hosts a party of (m+n) guests and places 'm' at one round table and the remaining 'n' at the other round table. Number of ways the guests can be arranged is

VMC MODULES ENGLISH-PERMUTATION & COMBINATION-JEE ARCHIVE
  1. A number of 18 guests have to be seated, half on each side of a lon...

    Text Solution

    |

  2. The number of integers greater than 6000 that can be formed using the ...

    Text Solution

    |

  3. How many different nine-digit numbers can be formed from the digits of...

    Text Solution

    |

  4. An n-digit number is a positive number with exactly n digits. Nine hun...

    Text Solution

    |

  5. In a college of 300 students, every student reads 5 newspapers and eve...

    Text Solution

    |

  6. Eight chairs are numbered 1 to 8. Two women and three men wish to oc...

    Text Solution

    |

  7. Ten different letters of an alphabet are given. Words with five letter...

    Text Solution

    |

  8. let T(n) be the number of all possible triangels formed by joining ver...

    Text Solution

    |

  9. Find the value of ""^(47)C4+ underset (r=1) overset( 5) sum ""^(52-r...

    Text Solution

    |

  10. True or false 1. The product of any 2. r 3. 4. consecutive natural ...

    Text Solution

    |

  11. The letters of the word COCHIN are permuted and all the permutation...

    Text Solution

    |

  12. The number of arrangements of the letters of the word BANANA in whic...

    Text Solution

    |

  13. The number of divisors of the form 4K + 2 , K ge 0 of the integers 24...

    Text Solution

    |

  14. Find the number of ways in which six '+' and four '-' signs can be arr...

    Text Solution

    |

  15. There are five balls of different colours and five boxes of colours sa...

    Text Solution

    |

  16. The number of ways of choosing 10 objects out of 31 objects of which 1...

    Text Solution

    |

  17. Suppose that 20 pillars of the same height have been erected along the...

    Text Solution

    |

  18. Some identical balls are arranged in rows to form an equilateral trian...

    Text Solution

    |

  19. There are m men and two women participating in a chess tournament. Eac...

    Text Solution

    |

  20. A group of students comprises of 5 boys and n girls. If the number of ...

    Text Solution

    |

  21. Let S be the set of all triangles in the xy-plane, each having one ver...

    Text Solution

    |