September 08, 2011

A Real Life Maths Puzzle

Here's a challenge to any of you up to it. It's a Puzzle, but it's an actual real one, in my actual house.

My house is a townhouse, and it has three floors.
There is a hall on each floor with a light in it.
Each hall also has a three-switch array that controls all the hall lights: { BOTTOM, MIDDLE, TOP}
At the moment, all the lights are OFF.
The current position of the switches is this:

  • TOP FLOOR:  {  1 , 1 , 1  }
  • MID FLOOR:  {  1 , 0 , 0  }
  • BOT FLOOR:  {  0 , 1 , 1  }
Still with me?

OK, what I want is for all the switches to be set such that 0 = off and 1 = on.

Is this possible? How do you do it?


Posted by Unknown at 13:29
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1 comment:

  1. Anonymous22 September 2011 at 12:46:00 BST

    I think it is possible. Just hit all the upper floor switches to 0, then they'll all be on with this layout:

    0 0 0
    1 0 0
    0 1 1

    Then hit the remaining switches on 1. All lights will then be off and all switches on 0.

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