Home
Class 11
MATHS
20 persons are sitting in a particular a...

20 persons are sitting in a particular arrangement around a circular table. Three persons are to be selected for leaders. The number of ways of selection of three persons such that no two were sitting adjacent to each other is a. `600` b. `900` c. `800` d. none of these

Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    CENGAGE PUBLICATION|Exercise All Questions|177 Videos
  • PROBABILITY

    CENGAGE PUBLICATION|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

Ten persons are arranged in a row . The number of ways of selecting four persons so that no two persons sitting next to each other's are selected is

if n objects are arranged in a row then the number of ways of selecting three of these objects so that no two of them are next to each other is

If n objects are arrange in a row, then the number of ways of selecting three of these objects so that no two of them are next to each other is a. "^(n-2)C_3 b. "^(n-3)C_2 c. "^(n-3)C_3 d. none of these

Number of ways in which Rs. 18 can be distributed amongst four persons such that nobody receives less than Rs. 3 is a. 4^2 b. 2^4 c. 4! d. none of these

Find the number of ways to give 16 different things to three persons A, B, C so that B gets 1 more than A and C gets 2 more than B.

The number of ways in which 7 persons can be seated at a round table if twom particular persons are not to sit together is

n persons are seated on n chairs at a round table. Find the probability that two specified persons are sitting next to each other.

The total number of ways of selecting six coins out of 20 one-rupee coins, 10 fifty-paisa coins, and 7 twenty-five paisa coins is: (a.) 28 (b.) 56 (c.) ^37 C_6 (d.) none of these

20 persons were invited to a party. In how many ways can they and the host be seated at a circular table ? In how many of these ways will two particular persons be seated on either side of the host .

In a group of boys, two boys are brothers and six more boys are present in the group. In how many ways can they sit if the brothers are not to sit along with each other? a. 2xx6! b. ^7P_2xx6! c. ^7C_2xx6! d. none of these

CENGAGE PUBLICATION-PERMUTATIONS AND COMBINATIONS-All Questions
  1. n is selected from the set {1, 2, 3,.............,100} and the number ...

    Text Solution

    |

  2. Messages are conveyed by arranging four white, one blue, and three ...

    Text Solution

    |

  3. 20 persons are sitting in a particular arrangement around a circula...

    Text Solution

    |

  4. A is a set containing n different elements. A subset PofA is chosen. T...

    Text Solution

    |

  5. Numbers greater than 1000 but not greater than 4000 which can be fo...

    Text Solution

    |

  6. Find 5C2

    Text Solution

    |

  7. The number less than 1000 that can be formed using the digits 0, 1,...

    Text Solution

    |

  8. A variable name in certain computer language must be either an alph...

    Text Solution

    |

  9. The number of 5 digits numbers that contain 7 exactly once is

    Text Solution

    |

  10. The total number of flags with three horizontal strips in order, whi...

    Text Solution

    |

  11. Let A be a set of n(ge 3) distinct elements. The number of triplets (x...

    Text Solution

    |

  12. The number of possible outcomes in a throw of n ordinary dice in wh...

    Text Solution

    |

  13. In a room there are 12 bulbs of the same wattage, each having separate...

    Text Solution

    |

  14. In a city no two persons have identical set of teeth and there is n...

    Text Solution

    |

  15. Consider the five points comprising the vertices of a square and th...

    Text Solution

    |

  16. The letters of the word COCHIN are permuted and all the permutations a...

    Text Solution

    |

  17. There are 3 men and 7 women taking a dance class. If N ils number ...

    Text Solution

    |

  18. Let S={1, 2, 3, 4} . The total number of unordered pairs of disjoint ...

    Text Solution

    |

  19. Number of permutations of 1, 2, 3, 4, 5, 6, 7, 8, and 9 taken all a...

    Text Solution

    |

  20. The number of distinct natural numbers up to a maximum of four digi...

    Text Solution

    |