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A room has 8 doors. In how many ways can...

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.

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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?

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Knowledge Check

  • 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
    `23`
    B
    `132`
    C
    `12`
    D
    `110`

  • In how many ways can a man and a woman be chosen out of 10 men and 8 women?

    A
    18
    B
    80
    C
    40
    D
    10

  • In a single occupancy co-ed hostel, consisting of 20 rooms, exactly 10 guys and 10 girls are allowed to stay in. Each one of them stays in a separate room. The hostel is designed in a circular form such that the door of a room. In how many ways can the rooms be allocated to then so that whenever a guy looks either side of his door there is always a girl next door?

    A
    A) `2!xx(10!)^2`
    B
    B) `20!-19!`
    C
    C) `9! xx 10!`
    D
    D) `2!xx(19!)/(9!xx10!)`

    • Similar Questions

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    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?

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

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