There are 3 lightbulbs behind a closed door

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Discussion Overview

The discussion revolves around a puzzle involving three lightbulbs connected to switches outside a closed door. Participants explore various methods to determine which switch corresponds to which bulb after manipulating the switches and opening the door only once. The conversation includes theoretical reasoning, assumptions about the setup, and proposed strategies for solving the puzzle.

Discussion Character

  • Exploratory
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants suggest turning on specific switches for varying durations to determine which bulb corresponds to which switch based on temperature.
  • Others propose that the setup requires assumptions about the wiring and functionality of the switches and bulbs.
  • A participant questions whether the puzzle can be solved without making assumptions about the standard operation of the switches.
  • Some participants mention using additional tools, such as a voltmeter, to assist in determining the state of the switches.
  • There are suggestions that the lightbulbs can be observed using both sight and touch to ascertain their states after opening the door.

Areas of Agreement / Disagreement

Participants express differing views on the assumptions necessary for solving the puzzle, with some believing that certain assumptions are essential while others question their validity. The discussion remains unresolved regarding the necessity of these assumptions and the effectiveness of proposed methods.

Contextual Notes

There are limitations regarding the assumptions about the wiring and operation of the switches, as well as the potential influence of external factors like light coming from under the door.

EvLer
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There are 3 lightbulbs behind a closed door. Each lightbulb is connected to a switch outside the room. You can manipulate switches in whichever way, but once you open the door, you cannot change them.
Match bulbs and switches.

ps: actually i am working on it myself :-p
 
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Can you open the door and then close it and open it again hehe
 
you wish... :biggrin:
my "can you" was "is there a space between the door and the floor?"

actually i dunno, i got it off some web-site word-for-word... we'll see if someone can solve it as is ...
 
So WutZ the Qustion?
 
Turn all three off for a period then:

Switch 1: On
Switch 2: Off
Switch 3: Keep on for several minutes then turn it off.

Now, open the door and report back to us what you observe! :)
 
that's very clever!
well... no, i don' t have a room just like that, but i suspect the switch3 lightbulb will have the wire inside partially lit, since not much time has passed yet.
 
Let us name the switches 1,2,3. Now turn on switch 1. After, say, 2 hours turn on switch 2. And then after abou 2 mins switch off both the switches. Now open the door and feel the bulbs, the hottest one is for switch 1, the lukewarm bulb corresponds to switch 2 and the coldest one is switch 3. Voila!
 
shaan_aragorn said:
Let us name the switches 1,2,3. Now turn on switch 1. After, say, 2 hours turn on switch 2. And then after abou 2 mins switch off both the switches. Now open the door and feel the bulbs, the hottest one is for switch 1, the lukewarm bulb corresponds to switch 2 and the coldest one is switch 3. Voila!
You do have the sense of sight along with touch, you know. :biggrin:

(Oh yeah, and there is no stipulation that all the switches need to be 'off' when observing the bulbs).
 
How do we know whether a switch is on or off?

Wouldn't we to have to assume that they are wired and assembled in the standard way?
 
  • #10
I think you'd have to assume that the switches flipped a certain way will correspond to the lights being on OR off. i.e. A switch flipped up should mean the light is on.

That being said, flip switch 1 up for about an hour, while the others are down. After that, flip switch 2 up and 1 down, so that switch 2 is the only one that is up. Now open the door. The light on corresponds to switch 2. The off light that is hot corresponds to switch one, and the last, cold light is obviously switch 3s.
 
  • #11
so it just an assumtion ?
or
is it possible to solve the puzzle wihtout making thos assumtion
 
  • #12
That assumption comes with the switch being outside where you can perform any test needed to determine what is on & off. Even if you use the light coming from under the door so long as no shadows under the door give a clue as to any difference between the lights. Or just use a volt meter.

Once, you know the on/off; turn two on and the others off for at least a few minutes as shaan said.
Then turn one off and one on – immediately enter (the one and only time you can open the door-blocking the switches) and inspect the two lights that are on quickly to see which one is hot and which is just warming up. Then check the two that are off, to see which is cold and warm.

Oops that solved for four!
 

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