Home
Class 12
MATHS
A double decker minibus has 8 seats in t...

A double decker minibus has 8 seats in the lower deck and 10 seats in the upper deck. Find the number of ways of arranging 18 persons in the bus if 3 children want to go to the upper deck and 4 old people can not go to the upper deck.

Text Solution

Verified by Experts

The correct Answer is:
Hence the required number of arrangements `=""^(11)C_(7) xx 10 ! xx 8!`
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise VERY SHORT ANSWER QUESTIONS|8 Videos
  • PERMUTATIONS AND COMBINATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SHORT ANSWER QUESTIONS|6 Videos
  • PARTIAL FRACTIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE- 7|32 Videos
  • PROBABILITY

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise DAM SURE|13 Videos

Similar Questions

Explore conceptually related problems

A double decker minibus has 13 seats in the lower deck and 12 seats in the upper deck. In how many ways can a marriage party of 25 persons be arranged if 4 old people refuse to go to the upper deck and 3 children wish to travel only in the upper deck.

A double decker bus has 15 seats in the lower deck and 13 seats in the upper deck. In how many ways can a marriage party of 28 persons be arranged if 4 old people refuse to go to the upper deck and 4 children wish to travel in the upper deck only.

A double decked bus can accommodate 100 passengers 40 in the upoer deack and 60 in the lower deck . In how many ways can a group of 100 passengers be accommodated is 15 refuse to sit in the lower deck and 20 refuse to sit in the upper deck ?

20 passengers are to travel by a double decked bus which can accommodate 13 in the upper deck and 7 in the lower deck . The number of ways that they can be distributed is

A family consistinf of an old man 6 adults and 4 children , is to be seated in a row for dinner . The children wish to occupy the two seats at each end and the old man refuses to have a child on either side of him . The number of ways that the seating arrangements can be made for the dinner is

The upper 3//4 of a ship's mast subtends at a point on the deck which is 40 meters from the mast an angle tan ^(-1) (( 3)/(4)) , the height of the mast above the deck in meters is ………

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PERMUTATIONS AND COMBINATIONS-TAXTUAL EXERCISES
  1. A double decker minibus has 8 seats in the lower deck and 10 seats in ...

    Text Solution

    |

  2. If ""^(n)P(7)=42. ""^(n)P(5). find n.

    Text Solution

    |

  3. If ""^((n+1))P(5): ""^(n)P(6)=2:7, find

    Text Solution

    |

  4. If ""^(12)P(5)+5. ""^(12)P(4)=""^(13)P(r), find r.

    Text Solution

    |

  5. If ""^(18)P((r-1)):""^(17)P((r-1))=9:7, find r.

    Text Solution

    |

  6. A man has 4 sons and there are 5 schools within his reach. In how many...

    Text Solution

    |

  7. If there are 25 railway stations on a railway line, how many types of ...

    Text Solution

    |

  8. In a class there are 30 students. On the New year day, every student p...

    Text Solution

    |

  9. Find the number of ways of arranging the letters of the word TRIANGLE ...

    Text Solution

    |

  10. Find the number of numbers that are greater than 4000 which can be for...

    Text Solution

    |

  11. Find the number of ways of arranging the letters of the word MONDAY so...

    Text Solution

    |

  12. Find the number of ways of arranging 5 different mathematics books, 4 ...

    Text Solution

    |

  13. Find the number of 5 letter words that can be formed using the letters...

    Text Solution

    |

  14. Find the number of ways of seating 10 students A(1), A(2)…..A(10) in a...

    Text Solution

    |

  15. Find the number of ways in which 5 red balls, 4 black balls of differe...

    Text Solution

    |

  16. Find the number of ways in which 5 red balls, 4 black balls of differe...

    Text Solution

    |

  17. Find the number of 4 - digit numbers that can be formed using the digi...

    Text Solution

    |

  18. If the letters of the word BRING are permuted in all possible ways and...

    Text Solution

    |

  19. Find the sum of all 4 digited numbers that can be formed using the dig...

    Text Solution

    |

  20. There are 9 objects and 9 boxes. Out of 9 objects, 5 cannot fit in thr...

    Text Solution

    |

  21. Find the number of 4- digited numbers that can be formed using the dig...

    Text Solution

    |