If a doughnut shaped house has two doors to the outside and three doors to the inner courtyard, then it's possible to end up back at your starting place by walking through all five doors of the house without ever walking through the same door twice. True or False?
4 comments:
False.
False. It's possible from the inside to go through all five doors once and end up outside. Six doors and you would have had it!
This can be done -- if you think outside the box. Chris, you did not say we could not climb the house, cross the roof and jump down into the courtyard. If we can, then here's the answer...
Starting at the threshold of one outside door, climb to the roof and jump down into the courtyard. Go through courtyard door number 1 into the house, go through courtyard door number 2 back out into the courtyard. Climb the roof and jump back into the yard and enter outside door number 2 into the house. Then go through courtyard door number 3 back into the courtyard. Climb to the roof again and jump back into the yard. Voila! You are now back outside in front of door number 1 where you started. What do you think?
-Jen
OK, I didn't officially go through door number 1 (started from inside the door frame, so technically my solution won't work - Doh! Would need 6 doors to actually go through them all.
-Jen
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