# The Grey Labyrinth is a collection of puzzles, riddles, mind games, paradoxes and other intellectually challenging diversions. Related topics: puzzle games, logic puzzles, lateral thinking puzzles, philosophy, mind benders, brain teasers, word problems, conundrums, 3d puzzles, spatial reasoning, intelligence tests, mathematical diversions, paradoxes, physics problems, reasoning, math, science.

 The Professor Goto page Previous  1, 2, 3, 4  Next
Author Message
Daedalian Member

 Posted: Sat Jun 01, 2002 11:35 pm    Post subject: 81 I still dont like the deductive solution What about something that sounds like this Since the prof. got 9 distinct responses, he himself cannot shake eight hands and therefore his wife cannot shake zero. And since the person who actually shakes eight cannot shake his wifes zero, then we know the prof. and his wife shook at least one. After this my brain and wording is failing me. . .
Werebear
Daedalian Member

 Posted: Sun Jun 02, 2002 12:27 am    Post subject: 82 Ahhh, but if the numbers used in the original solution weren't right, then this is the RECALCULATION of the wife's possible handshakes. So Professor=4. How many choices do we have now for the wife? Is there a formula that descibes her possibilities? Werebear
cha
Daedalian Member

 Posted: Sun Jun 02, 2002 1:06 am    Post subject: 83 Ideas for Werebear - Let's say the guest who reported 0 originally left the note, meaning s/he actually shook 1 hand. We know the one who shook eight hands shook hands with everyone but himself and his spouse, so he and 0 are a couple. Whose hand could she have shook, without meaning a second guest's count was also off? Same argument for the other pairings... However - "we have already said the professor himself shook 4 hands" - No, we really haven't. We worked the original puzzle as third person observers without direct knowledge of how many people the professor shook hands with. The professor may have shook hands with five people, including the mystery guest who then under-reported. So the mystery guest could have been someone the prof shook hands with who forgot one, or someone the prof did not shake hands with who remembered incorrectly. I don't see an answer here, other than "somebody".
Werebear
Daedalian Member

 Posted: Sun Jun 02, 2002 4:34 am    Post subject: 84 ...We, the puzzle solvers, 'figured out' the professor shook 4 hands. I would hope the professor himself remembered how many hands he shook.... we're counting the 4 handshakes for the professor a given. Werebear
Buffy
Guest

 Posted: Mon Jun 03, 2002 9:51 pm    Post subject: 85 My dad got 9 handshakes.Someone else I asked got 49 handshakes.
CrystyB
Misunderstood Guy

 Posted: Tue Jun 04, 2002 3:54 am    Post subject: 86 and i shook about 25 hands myself too.
Daedalian Member

 Posted: Wed Jun 05, 2002 1:20 am    Post subject: 87 This is to me one of the best puzzles It is simple wording and difficult reasoning I hope it is solved soon The puzzle is always easy when the solution is there Also, have any of you posting people tried this with nine other friends?!!
slice of pi
Icarian Member

 Posted: Wed Jun 05, 2002 6:58 am    Post subject: 88 Here lies the problem with only 5 couples. The professor got 9 different answers. If you pair the couples with letters A&B C&D E&F G&H I&J. Starting with A&B(assuming A&B are the professor and his wife), A..C, D, E, F, G, H, I, J....8 B..C, D, E, F, G, H, I, J....8 C..A, B, E, F, G, H, I....7 D..A, B, E, F, G, H....6 E..A, B, C, D, G....5 F..A, B, C, D....4 G..A, B, C....3 H..A, B....2 I..A....1 J..No hands shaken When you move down the line to J, J shakes 0 hands. Here lies the problem. If you look at the hands shaken by A&B, J has allready shaken 2 hands, and I who supposed to have shaken one hand has shaken 3 hands, and so forth. I have two other possibilities: The word problem says that the professor and his wife invited 4 other couples. It could be possible that they each invited 4 couples making a total of 9 couples. At the end of the evening it said that the professor asked each other person, not, he asked each person. Starting with his wife and then asking every other person (all the ladies to keep it simple) he would get 9 different answers. Then there is a second possible way of looking at this. The Professor and his wife (Hosts) invited 4 other couples (Guests) then you have 9 "Others" for a total of 19 people at the party. The problem says that, "During the evening, various guests and hosts greeted some of the others with handshakes. At the end of the evening, the Professor asked each other person at the party how many different people's hands he/she had shaken; he got nine different answers." But I still don't know how many hands the wife shook! [This message has been edited by slice of pi (edited 06-05-2002 03:11 AM).]
Werebear
Daedalian Member

 Posted: Wed Jun 05, 2002 12:25 pm    Post subject: 89 Please read the previous solutions. You are including the wife in the nine answers... the 'nine' are the professor and his eight guests. the wife is a repeat of one of the nine numbers. Werebear
slice of pi
Icarian Member

 Posted: Wed Jun 05, 2002 7:15 pm    Post subject: 90 I have to disagree. There are ten people (five couples) at the party not nine people. The professor did not ask himself how many hands he had shaken. Like I showed in my chart, in order to have nine different answers the professor and his wife had to shake everyones hands. As you go down the line subtracting one person to make 7 then 6 and so forth the number of answers actually start repeating because in my example, J in the chart shakes 0 hands to make nine different answers, yet A&B have allready shaken his hands making J's answer two hands not zero. Same with (letter)I, his hand count in the chart is one. Look higher in the chart and you will see that A,B,and C have shaken his hands so (letter)I actually has three handshakes not one, which is why I think there are more than 5 couples at the party.
Werebear
Daedalian Member

BigBird
Guest

 Posted: Thu Jun 06, 2002 12:26 pm    Post subject: 92 A misconception here - The Professor asked the 8 guests and his wife and got 9 answers. He did not ask himself. HE knows how many hands his wife shook. The puzzle is for US to work it out. But I agree that the answer is 4 To reiterate in an attempt to make this clear for those who need it.... The responses are obviously 0 through 8 Man "8" did not shake his own hand or his wifes hand - BUT SHOOK EVERYONE ELSES Therefore his wife MUST have been the person who shook No Hands - There is nobody else who it could be. Apply the same logic to Man 7,6 and 5 with their respective spouses at 1, 2 and 3 That leaves the person who shook 4 hands with no partner. This persons spouse (by the logic above) MUST have also shaken 4 hands. Since there were no doubling up of numbers, the professor must be the other person to shake 4 hands, therefore the person who said they shook 4 hands must be his wife. QED
Heavy Metal

 Posted: Thu Jun 06, 2002 2:11 pm    Post subject: 93 I don't feel like typing. Here's your prove ------------------ People who think they know everything really annoy those of us that do.
Heavy Metal

 Posted: Thu Jun 06, 2002 2:14 pm    Post subject: 94 Hmm, this was meant for slice of pi but he removed his post. Well, maybe it's usefull in the future . ------------------ People who think they know everything really annoy those of us that do.
cha
Daedalian Member

 Posted: Thu Jun 06, 2002 10:47 pm    Post subject: 95 Quote: "A misconception here - The Professor asked the 8 guests and his wife and got 9 answers. He did not ask himself. HE knows how many hands his wife shook. The puzzle is for US to work it out. This was the point I was trying to make in response to Werebear's twist on the puzzle. Suppose the prof actually shook five hands. If someone gave the prof an incorrect response originally, the prof would have gotten 9 different responses, and WE would be operating on only the info given in the original puzzle, and ASSUME the prof shook four hands. So any of the guests (except the one who reported eight), in Werebear's sub-puzzle, could have forgotten shaking the prof's hand and left the note. [This message has been edited by cha (edited 06-06-2002 06:48 PM).]
Andylkl
Guest

 Posted: Sat Jun 08, 2002 4:53 pm    Post subject: 96 One handshake.
kartelite
Daedalian Member

 Posted: Sat Jun 08, 2002 6:52 pm    Post subject: 97 isn't it about time we DROPPED the thread, there is nothing left to be said, it has been worked out different ways over and over, still someone thinks they are smart and has another answer. as was noted the first day, the answer is 4. THE END.
Intentionally left blank

 Posted: Sun Jun 09, 2002 5:20 pm    Post subject: 98 If the answer is 4, why is the puzzle still in the "unsolved puzzles" category? It may simply be that the site has not been updated since the last news post on May 14th. As i've only been a member for under a month, I'm not familiar with how often the site gets updated. Is the site updated a lot?
Heavy Metal

 Posted: Sun Jun 09, 2002 6:24 pm    Post subject: 99 It depends. Sometimes it gets updated every two weeks, sometimes every month. So to answer your question, it is possible that solved puzzles are still in the unsolved puzzles category. ------------------ People who think they know everything really annoy those of us that do.
BearTalon
Guest

Heavy Metal

 Posted: Mon Jun 10, 2002 5:18 pm    Post subject: 101 And that makes 100 replies on a puzzle that has been solved on the first page . btw, Werebear, is that you . ------------------ People who think they know everything really annoy those of us that do.
Werebear
Daedalian Member

 Posted: Mon Jun 10, 2002 5:29 pm    Post subject: 102 *bonk Cadmium on the head with a Timex-Sinclair 1000* Werebear
Heavy Metal

 Posted: Mon Jun 10, 2002 6:00 pm    Post subject: 103 I hope you broke it, Werebear! Those computers are a pain in the *ss. And I'm fine, thanx for asking. *wishes he hadn't lied about being OK, it's more KO* ------------------ People who think they know everything really annoy those of us that do.
DinnerJr
Guest

 Posted: Mon Jun 10, 2002 6:31 pm    Post subject: 104 I also ended up with the Professor's Wife shaking four hands. If you make a 10x10 grid of possible handshakes and start checking off who shook whose hand, you'll see a couple of immediate necessities: The nine answers that the professor got were: 0,1,2,3,4,5,6,7,8. We know that you can't possibly shake more than 10 people's hands, since only 10 people were at the party. To shake 10 hands, you'd have to shake your own hand. That's not allowed. To shake 9 hands, you'd have to shake your partner's hand. Also not allowed. So maximum handshaking is 8. Start with couple A (let's call them Bill and Hillary). Bill was very friendly and shook everyone's hand. He's the 8. Following that, Hillary is the only person at the party who could have shook 0 hands (everyone else at the party shook at least Bill's 1 hand). Following that logic (not sure if it's ok to give all of it away), you can deduce that all couples, when taken together, shook a total of 8 hands, and the Professor and his wife each shook 4 hands.
Werebear
Daedalian Member

 Posted: Mon Jun 10, 2002 7:33 pm    Post subject: 105 *Bear starts beating his head against the IBM buildlings in Endicott* (hey, they're emptying out fast anyways... ) Werebear
SaberKitty
one can always be hopeful...

 Posted: Mon Jun 10, 2002 11:21 pm    Post subject: 106 just wondering, why are we still debating the answer to this puzzle? were the bazillian times it was repeated throughout this thread and the 8 or so locked ones not sufficient? are we just bored? and why don't any of the professor threads have "not adaquite for real life situations" on them? maybe it's because i'm still new-ish, but whenever I lurked(which mostly was here) all the threads with the answers had that attached... just wondering...because if it's not obvious, i'm pretty bored too- i just don't want to argue about an easy puzzle. -SK ------------------ "You mean you have other words?" cried the bird happily. "Well, by all means, use them. You're certainly not doing very well with the ones you have now."
Beartalon
'Party line' kind of guy

Hitchhiker
Finally got a ride.

 Posted: Tue Jun 11, 2002 6:11 am    Post subject: 108 *formally* Welcome, BearTalon. I apologize for thinking you might be an alterego of Werebear. Maybe you and Werebear (and Carebear, if she's still around) should start a Bears' Club, similar to the DogPack. Strength in numbers, and all that.
Bare
Guest

 Posted: Tue Jun 11, 2002 11:45 am    Post subject: 109 Would I be welcome, or would this club discriminate against homophones?
Werebear
Daedalian Member

 Posted: Tue Jun 11, 2002 12:08 pm    Post subject: 110 ...actually, I found your solution well done, and you even had the answer most consider correct (Except for those who like finding loopholes ) Welcome to the Grey Labyrinth! BTW, I knew a BearTalon on IRC (Undernet) quite a few years ago... you're not him, are you? Oh, and if you're making me president and dictator-for-life of the Bear Pack, then it is mandated as the first rule that anyone can join. (Except for Orbiting. *grin* Just kidding.) If you're not, then it isn't, and they can't. Werebear
Heavy Metal

 Posted: Tue Jun 11, 2002 3:07 pm    Post subject: 111 Werebear, why start a Bearpack when you're a fleapack on your own ? *gets ready to be beaten, kicked and more* ------------------ People who think they know everything really annoy those of us that do.
cha
Daedalian Member

 Posted: Tue Jun 11, 2002 11:50 pm    Post subject: 112 To respond to Beartalon - A is No because if no one can shake hands with on of his or her siblings, that leaves only 12 others available. If one shakes no hands, 13 is the highest number of unique resonses possible. So, B1 is moot. B2 would be the person asking could hear a minimum of one number repeated. C - no real pattern that I could detect. The totals among each set of triplets don't have to add up to the same number...
Beartalon
'Party line' kind of guy

 Posted: Thu Jun 13, 2002 4:50 pm    Post subject: 113 Cha : you're right. I realized no duplicates was impossible (My own fault for writing far too late at night when my math skills diminish). I haven't tried to solve it properly yet to see if I discern any other pattern. WereBear : I use that nic on IRC although I haven't been on in a long time (a year or so). There was also another user with that nick but he was from the US and I live in Canada. We both used to haunt the same channel - bearcave. Thanks for everyone's welcome. Now tell me - is being mistaken for WereBear a blessing? ------------------ The Bear is Grumpy. Feed Him. Feed Him Now.
Werebear
Daedalian Member

 Posted: Thu Jun 13, 2002 5:21 pm    Post subject: 114 ...of COURSE it is! It's like being mistaken for the President of the Un-- hm. I mean, it's like being mistaken for someone famous, like Michael Jac-- Yecch. I mean, it's like being mistaken for someone really really... oh never mind. Werebear
Loreweaver
Guest

Werebear
Daedalian Member

 Posted: Sun Jun 16, 2002 12:48 pm    Post subject: 116 Bravo! Bravo! You got the same solution as the rest of us! Bravo! NEXT!!! Werebear
Beartalon
'Party line' kind of guy

 Posted: Mon Jun 17, 2002 1:24 am    Post subject: 117 BearTalon hands WereBear a cloth to clean the irony dripping off his keyboard into his lap... ------------------ The Bear is Grumpy. Feed Him. Feed Him Now.
Infinite|Insanity
Icarian Member

Heavy Metal

 Posted: Tue Jun 18, 2002 1:48 pm    Post subject: 119 Originally posted by Infinite|Insanity: aesthetically I love that word . ------------------ People who think they know everything really annoy those of us that do.
CrystyB
Misunderstood Guy

 Posted: Tue Jun 18, 2002 2:29 pm    Post subject: 120 This just isn't working... EVERYONE that wants to post ANYTHING about this puzzle (the professor) cannot add anything of value. So i suggest whenever anyone feels like it, they check out other crazy puzzles, like SB or MH or some other i just can't remember. I'm tired of this puzzle, and since noone is going to give us any new ones, let's ressurect the hottest ones we've already been over! [This message has been edited by CrystyB (edited 06-18-2002 10:30 AM).]
 All times are GMTGoto page Previous  1, 2, 3, 4  Next Page 3 of 4

 Jump to: Select a forum Puzzles and Games----------------Grey Labyrinth PuzzlesVisitor Submitted PuzzlesVisitor GamesMafia Games Miscellaneous----------------Off-TopicVisitor Submitted NewsScience, Art, and CulturePoll Tournaments Administration----------------Grey Labyrinth NewsFeature Requests / Site Problems
You cannot post new topics in this forum
You can reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot vote in polls in this forum