Home
Class 11
MATHS
There are n seats round a table marked 1...

There are n seats round a table marked 1,2,3,…..n the number of ways in which `m(len)` persons can take seats is

A

`.^np_m`

B

`.^nc_mxx(m-1)!`

C

`.^nc_mxxm!`

D

`.^(n-1)p_(m-1)`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • PARABOLA, ELLIPSE AND HYPERBOLA

    PATHFINDER|Exercise QUESTION BANK|66 Videos
  • PERMUTATION AND COMBINATIONS

    PATHFINDER|Exercise QUESTION BANK|81 Videos

Similar Questions

Explore conceptually related problems

A car will hold 2 persons in the front seat and i in the rear seat . If among 6 persons only 2 can drive , the number of ways , in which the car can be filled , is

There are p copies each of n different books. Find the number of ways in which a nonempty selection can be made from them.

There are (n+1) white and (n+1) black balls, each set numbered 1ton+1. The number of ways in which the balls can be arranged in a row so that the adjacent balls are of different colors is a. (2n+2)! b. (2n+2)!xx2 c. (n+1)!xx2 d. 2{(n+1)!}^2

Eighteen guests have to be seated , half on each side of a ling 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 .

Given that n is the odd the number of ways in which three numbers in A.P. can be selected from {1,2,3,4….,n} is

There are 2n guests at a dinner party. Supposing that the 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. find the number of ways in which the company can be placed.

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.

Two players P_1a n dP_2 play a series of 2n games. Each game can result in either a win or a loss for P_1dot the total number of ways in which P_1 can win the series of these games is equal to a. 1/2(2^(2n)-.^(2n)C_n) b. 1/2(2^(2n)-2xx.^(2n)C_n) c. 1/2(2^n-.^(2n)C_n) d. 1/2(2^n-2xx.^(2n)C_n)

m men and n women are to be seated in a row so that no two women sit together. If (m>n) then show that the number of ways in which they can be seated as (m!(m+1)!)/((m-n+1)!) .

m men and n women are to be seated in a row that no two women sit together . If m gt n, then show that the mumber of ways in which they can be sated is (m!(m+1)!)/((m-n+1)!)

PATHFINDER-PERMUTATION AND COMBINATION-QUESTION BANK
  1. Find the number of words which can be made from letters of the word IN...

    Text Solution

    |

  2. Sanjay has 10 friends among whom two are married to each other she wis...

    Text Solution

    |

  3. There are n seats round a table marked 1,2,3,…..n the number of ways i...

    Text Solution

    |

  4. The number of ways in which 10 candidates A1,A2,….A10 can be ranked so...

    Text Solution

    |

  5. If a seven digit number made up of all distinct digits 8,7,6,4,2,x and...

    Text Solution

    |

  6. The number of ways of choosing four letters from the letters of the wo...

    Text Solution

    |

  7. Ten persons amongst whom are A,B and C are to speak at a function the ...

    Text Solution

    |

  8. (10!)=(2)^p.(3)^q.(5)^r.(7)^8 then

    Text Solution

    |

  9. if n objects are arranged in a row then the number of ways of selectin...

    Text Solution

    |

  10. Different words are being formed by arranging the letters of the word ...

    Text Solution

    |

  11. Different words are being formed by arranging the letters of the word ...

    Text Solution

    |

  12. Let p be a prime number and n be a positive integer then exponent of p...

    Text Solution

    |

  13. Let p be a prime number and n be a positive integer then exponent of p...

    Text Solution

    |

  14. No.of ways to distribute n balls into r boxes is

    Text Solution

    |

  15. Match List - I with List - II

    Text Solution

    |

  16. The least value of n for which ^(n-1)c3+^(n-1)c4gt ^nc3 is

    Text Solution

    |

  17. The letters of the word 'SALOON' are arranged in all possible ways the...

    Text Solution

    |

  18. number of words that can be formed with the letters of the word ALGEBR...

    Text Solution

    |

  19. The sum of the digits in the tenth place of all numbers formed with th...

    Text Solution

    |

  20. The letters of the word PATNA are arranged in all possible ways as in ...

    Text Solution

    |