Home
Class 12
MATHS
There are 'n' seats round a table number...

There are 'n' seats round a table numbered `1,2, 3,….,n`. The number of ways in which `m(le n)` persons can take seat is

A

`nC_m`

B

`nC_m xx m!`

C

`(m-1)!`

D

`(m-1)! xx (n-1)!`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|233 Videos

  • PROBABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|213 Videos

Similar Questions

Explore conceptually related problems

The total number of ways in which 2n persons can be divided into n couples is

There are n numbered seats around a round table. Total number of ways in which n_(1)(n_(1) lt n) persons can sit around the round table, is equal to

In a railway compartment there are 6 seats. The number of ways in which 6 passengers can occupy those seats= …

If a man and his wife enter a bus , in which five seats are vacant , then the number of different ways in which they can be seated is

There are n books having p copies of each . The number of ways in which a selection can be made from them is :

There are 2n guests at a dinner party. Supposing that eh master and mistress of the house have fixed seats opposite one another and that there are two specified guests who must not be placed next to one another, show that the number of ways in which the company can be placed is (2n-2!)xx(4n^2-6n+4)dot

A square of n units is divided into n^(2) squares each of area 1 sq unit. Find the number of ways in which 4 points (out of (n+1)^(2) vertices of the squares) can be chosen so that they form the vertices of a square.

Number of ways in which three numbers in A.P. can be selected from 1,2,3,..., n is

Consider a plygon of sides 'n' which satisflies the equation 3. .^(n)p_(4) = .^(n-1)p_(5) Rajdhani express travelling from Delhi to Mumbai has n station enroute. Number of ways in which a train can be stopped at 3 stations

If five seats are vacant in a train, the number of ways three passengers can sit is:

HIMALAYA PUBLICATION-PERMUTATION AND COMBINATIONS-Question Bank
  1. A polygon has 170 diagnols. How many sides will it have?

    Text Solution

    |

  2. The number of 2 xx 2 matrices having elements 0 and 1 is

    Text Solution

    |

  3. There are 'n' seats round a table numbered 1,2, 3,….,n. The number of...

    Text Solution

    |

  4. All the letters of the word ' EAMCET '' are arranged in all possible w...

    Text Solution

    |

  5. The straight lines , l1,l2 and l3 are parallel and lie in the same pla...

    Text Solution

    |

  6. The sum of the digits in unit place of all the numbers formed with the...

    Text Solution

    |

  7. The number of ways in which 5 boys and 3 girls can he seated in a row ...

    Text Solution

    |

  8. The maximum number of points into which 4 circles and 4 st . Lines int...

    Text Solution

    |

  9. The maximum number of points of intersection of 7 circles is

    Text Solution

    |

  10. The number of four digit even numbers that can be formed using 0,1,2,3...

    Text Solution

    |

  11. How many four digit numbers can be formed using digits 1,2,3,4,5 such ...

    Text Solution

    |

  12. A committee of 6 is chosen from 10 men and 7 women so as to contain at...

    Text Solution

    |

  13. In a class of 10 students there are 3 girls. The number of ways they c...

    Text Solution

    |

  14. There are 3 copies each of 4 different books. The number of ways they ...

    Text Solution

    |

  15. The number of numbers that can be formed by using all the digits from ...

    Text Solution

    |

  16. A round table conference is to be held among 20 delegates of 20 countr...

    Text Solution

    |

  17. The number of ways in which ten candidates A(1), A(2), .. .., A(10) ca...

    Text Solution

    |

  18. The number of ways in which 5 identical balls can be kept in 10 identi...

    Text Solution

    |

  19. Given 5 different green dyes , 4 different blue dyes and 3 different r...

    Text Solution

    |

  20. The number of numbers greater than 3000 which can be formed by using t...

    Text Solution

    |