Home
Class 11
MATHS
8 woman and 6 man are standing in a li...

8 woman and 6 man are standing in a line.
(i) How many arrangements are possible if any individual can stand in any position ?
(ii) In how may arrangements will be 6 men be standing next to one another ?
(iii) In how many arrangements will no two men be standing next to one another ?

Text Solution

Verified by Experts

The correct Answer is:
(i) 14! Ways
(ii) ` 9!xx 6!`
(iii) ` .^(9) P_(6) xx 8!`
Promotional Banner

Topper's Solved these Questions

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    SURA PUBLICATION|Exercise EXERCISE 4.3|28 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    SURA PUBLICATION|Exercise Exercise 4.4|15 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (section - D)|5 Videos

  • BINOMIAL THEOREM, SEQUENCES AND SERIES

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS|10 Videos

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (SECTION - D)|4 Videos

Similar Questions

Explore conceptually related problems

In how many ways five persons can stand in a row ?

Three twins pose for a photograph standing in a line. How many arrangement are there (i) when there are no restrictions. (ii) when each person is standing next to his or her twin?

CD stands for

The letters of the word TUESDAY are arranged in a line, each arrangement ending with letter S. How many different arrangements are possible? How many of them start with letter D?

In how many ways can 8 students be arranged in a row?

SURA PUBLICATION-COMBINATORICS AND MATHEMATICAL INDUCTION -Exercise 4.2
  1. If .^(n-1) P(3) : P(4) = 1 , 10 find n.

    Text Solution

    |

  2. IF .^(10) P(r-1) = 2xx 6P(r) find r

    Text Solution

    |

  3. (i) Suppose 8 people enter an event in a swimming meet. In how m...

    Text Solution

    |

  4. Determine the number of permutations of the letters of the word SIMPL...

    Text Solution

    |

  5. A test consists of 10 multiple choice questions . In how many ways ...

    Text Solution

    |

  6. A student appears in an objective test which contain 5 multiple choi...

    Text Solution

    |

  7. How many strings can be formed from the letters of the word ARTICLE,...

    Text Solution

    |

  8. 8 woman and 6 man are standing in a line. (i) How many arrangement...

    Text Solution

    |

  9. Find the distinct permutations of the letters or the word MISSISSIPP...

    Text Solution

    |

  10. How many ways can the product a^(2) b^(3) c^(4) be expressed witho...

    Text Solution

    |

  11. In how many ways 4 mathematics books , 3 physics books, 2 chemistry...

    Text Solution

    |

  12. In how many ways can the letters of the word SUCCESS be arranged ...

    Text Solution

    |

  13. A coin is tossed 8 times. (i) How many different sequences of ...

    Text Solution

    |

  14. How many strings are there using the letters of the word INTERMEDIAT...

    Text Solution

    |

  15. Each of the digits 1,1,2,3,3 and 4 is written on separate card. The ...

    Text Solution

    |

  16. If the letters of the word GARDEN are permuted in all possible ways ...

    Text Solution

    |

  17. Find the number of strings that can be made using all letters of th...

    Text Solution

    |

  18. if the letters of the word FUNNY are permuted in all possible ways a...

    Text Solution

    |

  19. Find the sum of all 4-digit numbers that can be formed using digits 1,...

    Text Solution

    |

  20. Find the sum of all 4-digit numbers that can be formed using digits...

    Text Solution

    |