tag:blogger.com,1999:blog-14442178.post113294750115731234..comments2020-06-04T00:49:17.975-07:00Comments on Who Has Time For This?: How Many Hands Did She Shake?David Cowanhttp://www.blogger.com/profile/13075075203254308405noreply@blogger.comBlogger44125tag:blogger.com,1999:blog-14442178.post-22757414153459000532014-11-20T05:28:53.327-08:002014-11-20T05:28:53.327-08:00yes!!!!yes!!!!David Cowanhttps://www.blogger.com/profile/13075075203254308405noreply@blogger.comtag:blogger.com,1999:blog-14442178.post-86098186700223610742014-11-20T05:28:20.324-08:002014-11-20T05:28:20.324-08:00Agreed. Good point. Agreed. Good point. David Cowanhttps://www.blogger.com/profile/13075075203254308405noreply@blogger.comtag:blogger.com,1999:blog-14442178.post-81461640259858952952014-11-20T05:26:33.053-08:002014-11-20T05:26:33.053-08:00You are right. This is not a great interview quest...You are right. This is not a great interview question. David Cowanhttps://www.blogger.com/profile/13075075203254308405noreply@blogger.comtag:blogger.com,1999:blog-14442178.post-87562374154612818392014-11-20T05:24:53.861-08:002014-11-20T05:24:53.861-08:00You have tallied 10 replies but I am one of the 10...You have tallied 10 replies but I am one of the 10 people. I didn't ask myself. So I got back NINE different replies. David Cowanhttps://www.blogger.com/profile/13075075203254308405noreply@blogger.comtag:blogger.com,1999:blog-14442178.post-70636338918858000782009-03-17T13:27:00.000-07:002009-03-17T13:27:00.000-07:00Symmetry. (Your wife can just as easily have asked...Symmetry. (Your wife can just as easily have asked this question, giving the same problem.) The answer is thus 4. KSpecialKhttps://www.blogger.com/profile/03778682449647128436noreply@blogger.comtag:blogger.com,1999:blog-14442178.post-1162709919777989312006-11-04T22:58:00.000-08:002006-11-04T22:58:00.000-08:00also, you shook the same 4 hands that your wife di...also, you shook the same 4 hands that your wife did.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-14442178.post-1137021599402174742006-01-11T15:19:00.000-08:002006-01-11T15:19:00.000-08:00Very nice and interesting blog! and very nice puzz...Very nice and interesting blog! and very nice puzzle too!<BR/>Please take some time to visit my blog!<BR/><A HREF="http://viaggiasiti.blogspot.com" REL="nofollow">Il viaggiasiti</A> or my website <A HREF="http://www.bed-and-breakfast-in-umbria.it" REL="nofollow">Farm house in Umbria</A>!Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-14442178.post-1136919045927909002006-01-10T10:50:00.000-08:002006-01-10T10:50:00.000-08:00The answer is 4 shakes, and you also shook 4 hands...The answer is 4 shakes, and you also shook 4 hands.<BR/> <BR/>Not including you, there were 9 people, and the numbers they shook hands were 8,7,6...0<BR/>It cannot be from 9,8,7... because that implies having a couple shaking hands with each other.<BR/><BR/>The person shaking hands with 8 people shook hand with all except with person not shaking with anyone p(0). So they are couple. 8-0<BR/>p(7) didn't shake hands with p(1) because that person already shook hands with p(8), it's only shake. p(7) and p(1) is also a couple.<BR/>p(6) didn't shake hands with p(2), and so on... p(6) is couple with p(2)<BR/>p(5) is couple with p(3)<BR/><BR/>That leaves your wife and you with 4 each.<BR/><BR/>HRAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-14442178.post-1136890636758859872006-01-10T02:57:00.000-08:002006-01-10T02:57:00.000-08:00Mathematically speaking, both you and your wife sh...Mathematically speaking, both you and your wife shook hands with 4 people. <BR/><BR/>That is because the "different answers from everyone" does not include you. Cem sertoglu is right!<BR/><BR/>This was one of the first questions given in my graph theory class. Cool to see it here. =)Arielhttps://www.blogger.com/profile/11077903604150582014noreply@blogger.comtag:blogger.com,1999:blog-14442178.post-1136383504117754492006-01-04T06:05:00.000-08:002006-01-04T06:05:00.000-08:00The solution while clever and smart ignores the ba...The solution while clever and smart ignores the basic fact that you cannot always rely on people to tell the truth. What if your wife had lied? What if somebody had been worse for wine and answered 42? <BR/><BR/>Most logic problems deal in absolutes, but the world is one of probabilities, likelyhoods and levels of confidence. To me that is more important an observation than the ability to solve the problem as stated.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-14442178.post-1136287693729004632006-01-03T03:28:00.000-08:002006-01-03T03:28:00.000-08:00you had the nearest seat to the ring and you are t...you had the nearest seat to the ring and you are the only one privy to what your wife said. :-) nice postAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-14442178.post-1136271220469396582006-01-02T22:53:00.000-08:002006-01-02T22:53:00.000-08:00Read the question. Answered reflexively. What di...Read the question. Answered reflexively. What did the wife say? She said, "My gawd. You're boring."The Savage Chefhttps://www.blogger.com/profile/06882047273979512999noreply@blogger.comtag:blogger.com,1999:blog-14442178.post-1136049285907234802005-12-31T09:14:00.000-08:002005-12-31T09:14:00.000-08:00Your Wife said: 'Does it matter?'Your Wife said: 'Does it matter?'Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-14442178.post-1135944770700633712005-12-30T04:12:00.000-08:002005-12-30T04:12:00.000-08:00You never shook hands with the 4 couples you went ...You never shook hands with the 4 couples you went to the party with right? How many people were already at the party?Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-14442178.post-1135789648099458882005-12-28T09:07:00.000-08:002005-12-28T09:07:00.000-08:00Interesting handshake problem. I enjoyed the quest...Interesting handshake problem. I enjoyed the question and the blog. Check out my blog if you have time<BR/>http://niquel757.blogspot.com<BR/>The blog includes good links, paintings, pictures and a mix of interesting and funny posts.<BR/><BR/>Regards<BR/>JavierJavier Martihttps://www.blogger.com/profile/04360354942213559981noreply@blogger.comtag:blogger.com,1999:blog-14442178.post-1135705403586142552005-12-27T09:43:00.000-08:002005-12-27T09:43:00.000-08:00Great Puzzle. The Answer requires that you re-eva...Great Puzzle. The Answer requires that you re-evaluate what group you and your wife are to satisfy the condition that "I got different answers from everyone." Thus you and your wife both shook the hands of 4 people. :) I used pen and paper, is that allowed? :)Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-14442178.post-1134162896291560422005-12-09T13:14:00.001-08:002005-12-09T13:14:00.001-08:00First of all, I ask the question to everyone, and ...First of all, I ask the question to everyone, and get a different answer. In other words, I ask 9 people (including my wife) and I should be getting 9 DIFFERENT answers. Since nobody is shaking their own hand or their spouses, teh largest number is 8. Then the answers are 0, 1, 2, 3, 4, 5, 6, 7, and 8. Which means, ONE person shook no hands and ONE person shook 8. WHose hand did the person, who shook 8 hands not shake? His (her) spouse's! In other words, the person who shook 8 hands and the person who shook 0 hands are a couple! Who else, and what answers remain? Take 7. Who can the person who answered 7 NOT have shaken hands with? The person who shook only 1 hand, because the hand of Ms. 1 was already shaken by Mr. 8. So, no more handshakes for Ms.1, who has to be Mr. 7's spouse. The pattern that emerges is that 8-0, 7-1, 6-2, 5-3 are spouses. At this point, we've identified these 4 couples. We're left with 4, who's the spouse of the other 4. I never asked myself the question, so that must be ME. So my wife shook 4 hands.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-14442178.post-1134162857506742862005-12-09T13:14:00.000-08:002005-12-09T13:14:00.000-08:008-0 eş, 7-1 eş, 6-2 eş, 5-3 eş. Bu aşamaya gelindi...8-0 eş, 7-1 eş, 6-2 eş, 5-3 eş. Bu aşamaya gelindiğinde artık 8 kişinin el sıkışma sayısı belirlenmiş durumda: 0, 1, 2, 3, 5, 6, 7, 8. Geriye 4 kalıyor. Yani 4-4, yani Bay Smith’in el sıkışma sayısı, yani Bay Smith’in de, Bay Smith’in eşinin de el sıkışma sayısı. <BR/><BR/>First of all, I ask the question to everyone, and get a different answer. In other words, I ask 9 people (including my wife) and I should be getting 9 DIFFERENT answers. Since nobody is shaking their own hand or their spouses, teh largest number is 8. Then the answers are 0, 1, 2, 3, 4, 5, 6, 7, and 8. Which means, ONE person shook no hands and ONE person shook 8. WHose hand did the person, who shook 8 hands not shake? His (her) spouse's! In other words, the person who shook 8 hands and the person who shook 0 hands are a couple! Who else, and what answers remain? Take 7. Who can the person who answered 7 NOT have shaken hands with? The person who shook only 1 hand, because the hand of Ms. 1 was already shaken by Mr. 8. So, no more handshakes for Ms.1, who has to be Mr. 7's spouse. The pattern that emerges is that 8-0, 7-1, 6-2, 5-3 are spouses. At this point, we've identified these 4 couples. We're left with 4, who's the spouse of the other 4. I never asked myself the question, so that must be ME. So my wife shook 4 hands.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-14442178.post-1134123078147893832005-12-09T02:11:00.000-08:002005-12-09T02:11:00.000-08:00I just interviewed with Bessemer yesterday and I w...I just interviewed with Bessemer yesterday and I wasn't asked the handshake question! I was <I> so </I> expecting to blow away the Larchmont partners with my instantaneous riddle-solving skills. Actually, I would have just revealed what an observant and honest blog researcher I am...<BR/><BR/>-BenBen Cooperhttps://www.blogger.com/profile/14998183144849377897noreply@blogger.comtag:blogger.com,1999:blog-14442178.post-1133553133213513532005-12-02T11:52:00.000-08:002005-12-02T11:52:00.000-08:00to continue & conclude. . . This explains why ther...to continue & conclude. . . This explains why there are people who do very well with logic puzzles but don't have similarly outstanding insight into larger trends, people interactions, etc. . . .Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-14442178.post-1133552852919971832005-12-02T11:47:00.000-08:002005-12-02T11:47:00.000-08:00Great puzzle. Had to go to the whiteboard for it.A...Great puzzle. Had to go to the whiteboard for it.<BR/><BR/>And great area to plumb . . . when do we realize that we can divine more from the available data than what first meets the eye?<BR/><BR/>The challenge, imho, with artificial problems is that you get specialized behavior from your candidate when you ask them. In other words, to answer this problem the candidate has to switch into Games magazine logic problem mode. And thus s/he makes it solvable by translating the key sentence "I got different answers" from the colloquial meaning, "no real trend emerged from the data", to a mathematically precise "each person gave a precise, unique, and accurate answer." If I know it's a game, I know I can make the (otherwise unrealistic) translation.<BR/><BR/>But this is much easier than what we have to do in the business world. We see lots of ambiguous signs. Some of them turn out to be clear indicators of a deeper trend or structure. Some don't. The real trick is figuring out which is which. <BR/><BR/>I'm not sure an artificial problem really tests that skill.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-14442178.post-1133516737586118622005-12-02T01:45:00.000-08:002005-12-02T01:45:00.000-08:00If you genreralize this to n couples with 0 to 2n ...If you genreralize this to n couples with 0 to 2n as the number of handshakes surveyed, the answer would be n assuming your wife is part of the people you surveyed.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-14442178.post-1133494545449435772005-12-01T19:35:00.000-08:002005-12-01T19:35:00.000-08:00No, there's enough information here.We know that t...No, there's enough information here.<BR/><BR/>We know that there are eight people and that the speaker got a different answer from each of the other seven people. Since the maximum number of hands a person could possibly shake (which is a given) is 6 (everyone else except his/her spouse), we then know that the numbers of handshakes assigned to those seven people are 6, 5, 4, 3, 2, 1, and 0. <BR/><BR/>Let's call the couples A1, A2, B1, B2, C1, C2, D1 and D2. (We need not decide which one the speaker is yet.) Without loss of generality, we say that A1 shook six hands (everyone else's except for A2). We need to assign 0 handshakes to *someone*, and the only possibility is A2, so A1=6 and A2=0.<BR/><BR/>Again WLOG, we can assert that B1=5 (by shaking A1's hand, along with both C's and D's.) Therefore, only B2 could possibly have only shook one hand (A1's), we also know that B2=1.<BR/><BR/>Again WLOG, we assert that C1, having shook the hands of A1 and B1, also shook the hands of D1 and D2 -- and this C1=4. However, this means that there's only one person remaining how shook two hands, and that's C2. So, C1=4 and C2=2.<BR/><BR/>Finally, D1 and D2 have each necessarily shaken three hands. And, consequently, if the speaker had gotten a different answer from everyone asked, the speakere must be either D1 or D2, and their spouse is the other. Therefore, the speaker's spouse shook three hands.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-14442178.post-1133322237762727002005-11-29T19:43:00.000-08:002005-11-29T19:43:00.000-08:00I guess the Visto guys are still struggling to ans...I guess the Visto guys are still struggling to answer your question : )Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-14442178.post-1133301994095777782005-11-29T14:06:00.000-08:002005-11-29T14:06:00.000-08:00I wonder if you extend this same thinking to those...I wonder if you extend this same thinking to those who come to you for funding. I would hope that you are looking to fund solutions to seemingly unsolvable problems. (Those problems that, once solved, provide a nifty profit, of course.)<BR/><BR/>Would it not, therefore, be more important for a skilled VC to identify a problem and then encourage inventors to provide solutions?Anonymousnoreply@blogger.com