Home
Class 12
MATHS
Find the number of ways in which five fr...

Find the number of ways in which five friends sit in seven vacant seats in a bus ?

Text Solution

AI Generated Solution

To find the number of ways in which five friends can sit in seven vacant seats in a bus, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the total number of seats and friends**: We have 7 vacant seats and 5 friends. 2. **Choose seats for the friends**: ...
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section A Objective type questions (One option is correct )|51 Videos
  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section B Objective type questions (One option is correct )|39 Videos
  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section-J (Aakash Challengers Questions)|7 Videos
  • MATRICES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|3 Videos
  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE ENGLISH|Exercise Section-D:(Assertion-Reason Type Questions)|11 Videos

Similar Questions

Explore conceptually related problems

Find the number of ways in which 6 boys and 6 girls can be seated in a row so that all the girls sit together and all the boys sit together.

Find the number of ways in which 5 boys and 3 girls can be seated in a row so that no two girls are together.

Let m be the number of ways in which 'f' number of friends visit seven different wonders such that every friend visit at least one wonder. Let n be the number of ways in which all ' f ' friends visit exactly same two wonders.If (n)/(m)=((21)/(127)^(4)) then value of ' f ' is.

Find the number of ways in which six persons can be seated at a round table, so that all shall not have the same neighbours n any two arrangements.

Find the number of ways in which six persons can be seated at a round table, so that all shall not have the same neighbours n any two arrangements.

Find the number of ways in which five identical balls can be distributed among ten identical boxes, if not more than one can go into a box.

Find the number of ways in which 3 boys and 3 girls can be seated on a line where two particular girls do not want to sit adjacent to a particular boy.

Find the number of ways in which 6 men and 5 women can dine at around table if no two women are to sit so together.

Find the number of ways in which 10 girls and 90 boys can sit in a row having 100 chairs such that no girls sit at then either end of the rwo and between any two girls, at least five boys sit.

Find the number of ways in which 5 boys and 5 girl be seated in a row so that (i)No two girls may sit together (ii)All the girls sit together (iii)all the boys sit together. (iv)All the girls are never together.

AAKASH INSTITUTE ENGLISH-PERMUTATIONS AND COMBINATIONS -Try Yourself
  1. A child has five pockets and seven marbles. In how many ways can the c...

    Text Solution

    |

  2. Fifteen students compete in a race. In how many ways the first three p...

    Text Solution

    |

  3. Find the number of ways in which five friends sit in seven vacant seat...

    Text Solution

    |

  4. How many numbers are there between 10000 and 100000 such that every di...

    Text Solution

    |

  5. A coin is tossed eight times and outcomes are recorded. How many possi...

    Text Solution

    |

  6. From Goa to Mumbai there are 5 flights . In how many ways can Suresh g...

    Text Solution

    |

  7. From Panipat to Delhi there are 10 buses. In how may ways can Pooja go...

    Text Solution

    |

  8. Find the number of odd positive three digit integers.

    Text Solution

    |

  9. Find the number of even positive number which have five digits.

    Text Solution

    |

  10. There are 5 candidates for mathematics , 7 for science and 3 for arts ...

    Text Solution

    |

  11. There are 35 students in a class in wjhich there are 22 boys and 13 gi...

    Text Solution

    |

  12. How many different numbers lesser than 10000 can be formed from the d...

    Text Solution

    |

  13. How many numbers can be formed with digits 3,4,6,and 8 without repetit...

    Text Solution

    |

  14. Evaluate the following: (i) 6! -5! (ii) (30!)/(28!) (iii) (15!)/(...

    Text Solution

    |

  15. Evaluate : (1)/(3!)+(1)/(4!)+(1)/(5!)

    Text Solution

    |

  16. Convert into factorials 3.6.9.12.15.18.21

    Text Solution

    |

  17. Convert into factorials : 2.4.6.8.10.12……..50

    Text Solution

    |

  18. Evaluate : (n!)/((n-r)!) where n=5,r=2

    Text Solution

    |

  19. Evaluate (n!)/(r!(n-r)!), where n=15,r=4

    Text Solution

    |

  20. Evaluate ""^(20)P(3)

    Text Solution

    |