Home
Class 11
MATHS
A room has 6 doors. In how many ways can...

A room has 6 doors. In how many ways can a man enter the room through one door and come out through a different door?

Text Solution

AI Generated Solution

To solve the problem of how many ways a man can enter a room through one door and come out through a different door when there are 6 doors, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Total Number of Doors**: The room has a total of 6 doors. 2. **Choose an Entry Door**: ...
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    RD SHARMA|Exercise Solved Examples And Exercises|81 Videos
  • PROBABILITY

    RD SHARMA|Exercise Solved Examples And Exercises|280 Videos

Similar Questions

Explore conceptually related problems

A room has 8 doors. In how many ways can a man enter the room through one door and come out through a different door.

A hall has 12 gates. In how many ways can a man enter the hall through one gate and come out through a different gate?

A Hall has 3 gates. In how many ways can a man enter the hall through one gate and come out through a different gate?

A hall has 10 gates. In how many ways can a man enter the hall through one gate and come out through a different gate ?

A hall has 12 gates. In how many ways, can a man enter the hall through one gate and come out through a different gate?

A hall has four entrances and five exits . In how many ways can a man enter and exit from the hall ?

A movie theatre has 3 entrances and 4 exists. In how many ways can a man enter and exit from the theatre?

In a cinema hall, there are three entrance doors and two exit doors. In how many ways can a person enter the hall and then come out?

RD SHARMA-PERMUTATIONS-Solved Examples And Exercises
  1. How many numbers between 3000 and 4000 can be formed form the digits 3...

    Text Solution

    |

  2. How many numbers divisible by 5 and lying between 4000 and 5000 can be...

    Text Solution

    |

  3. A room has 6 doors. In how many ways can a man enter the room through ...

    Text Solution

    |

  4. In a monthly test, the teacher decides that there will be three que...

    Text Solution

    |

  5. There are 6 multiple choice questions in an examination. How any se...

    Text Solution

    |

  6. How many numbers are there between 100 and 1000 in which all the digit...

    Text Solution

    |

  7. How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 a...

    Text Solution

    |

  8. How many numbers greater than 1000, but not greater than 4000 can be ...

    Text Solution

    |

  9. How many different signals can be given using any number of flags from...

    Text Solution

    |

  10. In how many ways can the letters of the word ‘INTERMEDIATE’ be arrange...

    Text Solution

    |

  11. Find the total number of ways in which six '+' and four '-' signs can ...

    Text Solution

    |

  12. In how many ways can the letters of the word ‘INTERMEDIATE’ be arrange...

    Text Solution

    |

  13. If the letters of the word ‘MOTHER’ are written in all possible orders...

    Text Solution

    |

  14. The remainder when 1!+2!+3!+4!+......+1000! is divided by 10 is

    Text Solution

    |

  15. A biologist studying the genetic code is interested to know the number...

    Text Solution

    |

  16. If the letters of the word ‘LATE’ be permuted and the words so perf...

    Text Solution

    |

  17. If the letters of the word ‘MOTHER’ are written in all possible orders...

    Text Solution

    |

  18. If the letters of the word ‘LATE’ be permuted and the words so perf...

    Text Solution

    |

  19. Five persons entered the lift cabin on the ground floor of an 8-floor ...

    Text Solution

    |

  20. In how many ways first and second rank in mathematics, first and secon...

    Text Solution

    |