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#885836 - 05/06/13 01:28 AM Take the door!
CanukDenis Offline
Graduate Boomer

Registered: 11/26/00
Posts: 17759
Loc: Ottawa Ontario Canada
I enjoyed this one I found:

The prisoner sat alone in his cell staring through the bars at the six doors
to the guardroom beyond them. Suddenly, there was the sound of footsteps.

One guard came in through door A and a second entered through door F.
They unlocked the cell door.

"We shall set you free," said one of the guards, "but first you must pass
through all six doors, each door once only, in the correct order.
Three are entrances only and three are exits only.
Door A must be followed by door B or E; B by C or E; C by D or F;
D by A or F; E by B or D; and F by C or D."

With that the guards left through door B.
In what order must the prisoner pass through the doors?

_________________________
A true friend is a friend in spite of, not because of.

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#885863 - 05/06/13 06:26 AM Re: Take the door! [Re: CanukDenis]
Lex Offline
BAAG Specialist

Registered: 03/07/04
Posts: 7771
Loc: Isle of Man
I am sure that there is a mathematical approach to this neat little conundrum, but I have to use a longer logical approach. Stage one is to identify the remaining entrance (we already know A and F) and exits (we already know B). As B is an exit, either C or E must be the remaining entrance, leaving D as the second exit.

E cannot be an exit as it must be followed by B or D, both of which we know to also be exits, so E must be the third entrance and therefore C the third exit.

Now someone else can line them up in the correct order if I don't get there first...! headscratch
_________________________
Life is what happens while you're making other plans.


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#885871 - 05/06/13 06:56 AM Re: Take the door! [Re: CanukDenis]
Lex Offline
BAAG Specialist

Registered: 03/07/04
Posts: 7771
Loc: Isle of Man
Okay, I think it must be this, although it leaves the prisoner inside the guardroom: C - F - D - A - B - E


Edited by Lex (05/06/13 05:23 PM)
_________________________
Life is what happens while you're making other plans.


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#885893 - 05/06/13 09:56 AM Re: Take the door! [Re: CanukDenis]
CanukDenis Offline
Graduate Boomer

Registered: 11/26/00
Posts: 17759
Loc: Ottawa Ontario Canada
You're OUT OF JAIL, Lex!
_________________________
A true friend is a friend in spite of, not because of.

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