TwoaDay Posted July 27, 2008 Report Share Posted July 27, 2008 Four couples enter a restaurant. How many ways can they be seated at a round table so that the men and women alternate and no husband and wife sit next to each other? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 29, 2008 Report Share Posted July 29, 2008 There are only two ways. Alternating with husband and wife opposite each other and beside each other. So my answer is 2. Sorry new to posting, was suppose to add a comment to my guess, will do it now. The table is round. the 8 people sitting around the table sit in order of husband-wife-husband-wife-husband-wife-husband-wife. The husband and wife from each couple is not allowed to sit together. ________H1 W2 W3 _______________H3 H4________________W4 ________W1 H2 ________H1 W2 W3_________________H4 H2________________W1 ________W4 H3 There are the only two options. Husband 1 can only have Wife 1 sit opposite him or to the right as above (his lieft) if she sits to the left (his right) she will be sitting next to him. This applies to every other couple. I think where you might think there are more options is by changing seats around the table, but just by changing seats does not mean the order of who you are sitting next to changes. If you change seats eg. if H1 sets in the seat opposite from where he is sitting first hes still has to sit between W2 and W3, so in doing this it isn't a new seating order. Thats how I read it any way. I might be wrong. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 29, 2008 Report Share Posted July 29, 2008 (edited) 96 How do you guys get so low? Edited July 29, 2008 by taliesin Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 29, 2008 Report Share Posted July 29, 2008 How do you guys get so low?96 How did you get so high? Quote Link to comment Share on other sites More sharing options...
0 TwoaDay Posted July 29, 2008 Author Report Share Posted July 29, 2008 i reasearched it and there are definately only two answers it will be really, REALLY hard for anyone to change my mind or prove my wrong (and thats probably because its impossible, i know im right) and again GJ tearz Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 29, 2008 Report Share Posted July 29, 2008 (edited) How did you get so high? The 1st there are 4 men who can sit The 2nd there are 3 woman who can sit to fill conditions 3rd there are 2 men who can sit 4th there are 2 woman who can sit in the next gap 5th 1 posible 6th 1 posible 7th 1 posible 8th 1 posible so 4x3x2x2 = 48 then swap men and woman around 48x2 = 96! Edited July 29, 2008 by taliesin Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 29, 2008 Report Share Posted July 29, 2008 Seeing that brainden members are situated all over the world (me in nz) eight of us can't just meet and test this out around a table. Maybe it can be turned into a game where eight of us can be given a number and paired off with another member mimicking the husband wife combo, then if we number off the seats around the table and take turns at sitting around the table we can count how many times we sit next to someone new not being our partner (well in the case our online wife or husband). Maybe TwoaDay you can think of a way we could do this to show there are only two answers. Thinking about it myself it may take a few times around the table, but each time we repeat the same position we have to eliminate that possiblity. Just a thought and maybe it would be fun as well, unless of course everyone is in agreement with us that there are only two options Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 29, 2008 Report Share Posted July 29, 2008 (edited) Just wrote a script to calculate all the possibilities.. Guess What, it found 96. Don't worry about the last column Comment Seat1 Seat2 Seat3 Seat4 Seat5 Seat6 Seat7 Seat8 Itteration 1 M1 W2 M3 W1 M4 W3 M2 W4 3056 2 M1 W2 M3 W4 M2 W1 M4 W3 3098 3 M1 W2 M4 W1 M3 W4 M2 W3 3178 4 M1 W2 M4 W3 M2 W1 M3 W4 3194 5 M1 W3 M2 W1 M4 W2 M3 W4 3656 6 M1 W3 M2 W4 M3 W1 M4 W2 3698 7 M1 W3 M4 W1 M2 W4 M3 W2 3892 8 M1 W3 M4 W2 M3 W1 M2 W4 3920 9 M1 W4 M2 W1 M3 W2 M4 W3 4370 10 M1 W4 M2 W3 M4 W1 M3 W2 4424 11 M1 W4 M3 W1 M2 W3 M4 W2 4492 12 M1 W4 M3 W2 M4 W1 M2 W3 4520 13 M2 W1 M3 W2 M4 W3 M1 W4 7376 14 M2 W1 M3 W4 M1 W2 M4 W3 7418 15 M2 W1 M4 W2 M3 W4 M1 W3 7498 16 M2 W1 M4 W3 M1 W2 M3 W4 7514 17 M2 W3 M1 W2 M4 W1 M3 W4 8720 18 M2 W3 M1 W4 M3 W2 M4 W1 8740 19 M2 W3 M4 W1 M3 W2 M1 W4 8936 20 M2 W3 M4 W2 M1 W4 M3 W1 8956 21 M2 W4 M1 W2 M3 W1 M4 W3 9434 22 M2 W4 M1 W3 M4 W2 M3 W1 9466 23 M2 W4 M3 W1 M4 W2 M1 W3 9536 24 M2 W4 M3 W2 M1 W3 M4 W1 9556 25 M3 W1 M2 W3 M4 W2 M1 W4 12440 26 M3 W1 M2 W4 M1 W3 M4 W2 12460 27 M3 W1 M4 W2 M1 W3 M2 W4 12530 28 M3 W1 M4 W3 M2 W4 M1 W2 12562 29 M3 W2 M1 W3 M4 W1 M2 W4 13040 30 M3 W2 M1 W4 M2 W3 M4 W1 13060 31 M3 W2 M4 W1 M2 W3 M1 W4 13256 32 M3 W2 M4 W3 M1 W4 M2 W1 13276 33 M3 W4 M1 W2 M4 W3 M2 W1 14482 34 M3 W4 M1 W3 M2 W1 M4 W2 14498 35 M3 W4 M2 W1 M4 W3 M1 W2 14578 36 M3 W4 M2 W3 M1 W2 M4 W1 14620 37 M4 W1 M2 W3 M1 W4 M3 W2 17476 38 M4 W1 M2 W4 M3 W2 M1 W3 17504 39 M4 W1 M3 W2 M1 W4 M2 W3 17572 40 M4 W1 M3 W4 M2 W3 M1 W2 17626 41 M4 W2 M1 W3 M2 W4 M3 W1 18076 42 M4 W2 M1 W4 M3 W1 M2 W3 18104 43 M4 W2 M3 W1 M2 W4 M1 W3 18298 44 M4 W2 M3 W4 M1 W3 M2 W1 18340 45 M4 W3 M1 W2 M3 W4 M2 W1 18802 46 M4 W3 M1 W4 M2 W1 M3 W2 18818 47 M4 W3 M2 W1 M3 W4 M1 W2 18898 48 M4 W3 M2 W4 M1 W2 M3 W1 18940 49 W1 M2 W3 M1 W4 M3 W2 M4 21379 50 W1 M2 W3 M4 W2 M1 W4 M3 21421 51 W1 M2 W4 M1 W3 M4 W2 M3 21501 52 W1 M2 W4 M3 W2 M1 W3 M4 21517 53 W1 M3 W2 M1 W4 M2 W3 M4 21979 54 W1 M3 W2 M4 W3 M1 W4 M2 22021 55 W1 M3 W4 M1 W2 M4 W3 M2 22215 56 W1 M3 W4 M2 W3 M1 W2 M4 22243 57 W1 M4 W2 M1 W3 M2 W4 M3 22693 58 W1 M4 W2 M3 W4 M1 W3 M2 22747 59 W1 M4 W3 M1 W2 M3 W4 M2 22815 60 W1 M4 W3 M2 W4 M1 W2 M3 22843 61 W2 M1 W3 M2 W4 M3 W1 M4 25699 62 W2 M1 W3 M4 W1 M2 W4 M3 25741 63 W2 M1 W4 M2 W3 M4 W1 M3 25821 64 W2 M1 W4 M3 W1 M2 W3 M4 25837 65 W2 M3 W1 M2 W4 M1 W3 M4 27043 66 W2 M3 W1 M4 W3 M2 W4 M1 27063 67 W2 M3 W4 M1 W3 M2 W1 M4 27259 68 W2 M3 W4 M2 W1 M4 W3 M1 27279 69 W2 M4 W1 M2 W3 M1 W4 M3 27757 70 W2 M4 W1 M3 W4 M2 W3 M1 27789 71 W2 M4 W3 M1 W4 M2 W1 M3 27859 72 W2 M4 W3 M2 W1 M3 W4 M1 27879 73 W3 M1 W2 M3 W4 M2 W1 M4 30763 74 W3 M1 W2 M4 W1 M3 W4 M2 30783 75 W3 M1 W4 M2 W1 M3 W2 M4 30853 76 W3 M1 W4 M3 W2 M4 W1 M2 30885 77 W3 M2 W1 M3 W4 M1 W2 M4 31363 78 W3 M2 W1 M4 W2 M3 W4 M1 31383 79 W3 M2 W4 M1 W2 M3 W1 M4 31579 80 W3 M2 W4 M3 W1 M4 W2 M1 31599 81 W3 M4 W1 M2 W4 M3 W2 M1 32805 82 W3 M4 W1 M3 W2 M1 W4 M2 32821 83 W3 M4 W2 M1 W4 M3 W1 M2 32901 84 W3 M4 W2 M3 W1 M2 W4 M1 32943 85 W4 M1 W2 M3 W1 M4 W3 M2 35799 86 W4 M1 W2 M4 W3 M2 W1 M3 35827 87 W4 M1 W3 M2 W1 M4 W2 M3 35895 88 W4 M1 W3 M4 W2 M3 W1 M2 35949 89 W4 M2 W1 M3 W2 M4 W3 M1 36399 90 W4 M2 W1 M4 W3 M1 W2 M3 36427 91 W4 M2 W3 M1 W2 M4 W1 M3 36621 92 W4 M2 W3 M4 W1 M3 W2 M1 36663 93 W4 M3 W1 M2 W3 M4 W2 M1 37125 94 W4 M3 W1 M4 W2 M1 W3 M2 37141 95 W4 M3 W2 M1 W3 M4 W1 M2 37221 96 W4 M3 W2 M4 W1 M2 W3 M1 37263 Edited July 29, 2008 by taliesin Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 29, 2008 Report Share Posted July 29, 2008 Just wrote a script to calculate all the possibilities.. Guess What, it found 96. Don't worry about the last column Comment Seat1 Seat2 Seat3 Seat4 Seat5 Seat6 Seat7 Seat8 Itteration 1 M1 W2 M3 W1 M4 W3 M2 W4 3056 2 M1 W2 M3 W4 M2 W1 M4 W3 3098 3 M1 W2 M4 W1 M3 W4 M2 W3 3178 4 M1 W2 M4 W3 M2 W1 M3 W4 3194 5 M1 W3 M2 W1 M4 W2 M3 W4 3656 6 M1 W3 M2 W4 M3 W1 M4 W2 3698 7 M1 W3 M4 W1 M2 W4 M3 W2 3892 8 M1 W3 M4 W2 M3 W1 M2 W4 3920 9 M1 W4 M2 W1 M3 W2 M4 W3 4370 10 M1 W4 M2 W3 M4 W1 M3 W2 4424 11 M1 W4 M3 W1 M2 W3 M4 W2 4492 12 M1 W4 M3 W2 M4 W1 M2 W3 4520 13 M2 W1 M3 W2 M4 W3 M1 W4 7376 14 M2 W1 M3 W4 M1 W2 M4 W3 7418 15 M2 W1 M4 W2 M3 W4 M1 W3 7498 16 M2 W1 M4 W3 M1 W2 M3 W4 7514 17 M2 W3 M1 W2 M4 W1 M3 W4 8720 18 M2 W3 M1 W4 M3 W2 M4 W1 8740 19 M2 W3 M4 W1 M3 W2 M1 W4 8936 20 M2 W3 M4 W2 M1 W4 M3 W1 8956 21 M2 W4 M1 W2 M3 W1 M4 W3 9434 22 M2 W4 M1 W3 M4 W2 M3 W1 9466 23 M2 W4 M3 W1 M4 W2 M1 W3 9536 24 M2 W4 M3 W2 M1 W3 M4 W1 9556 25 M3 W1 M2 W3 M4 W2 M1 W4 12440 26 M3 W1 M2 W4 M1 W3 M4 W2 12460 27 M3 W1 M4 W2 M1 W3 M2 W4 12530 28 M3 W1 M4 W3 M2 W4 M1 W2 12562 29 M3 W2 M1 W3 M4 W1 M2 W4 13040 30 M3 W2 M1 W4 M2 W3 M4 W1 13060 31 M3 W2 M4 W1 M2 W3 M1 W4 13256 32 M3 W2 M4 W3 M1 W4 M2 W1 13276 33 M3 W4 M1 W2 M4 W3 M2 W1 14482 34 M3 W4 M1 W3 M2 W1 M4 W2 14498 35 M3 W4 M2 W1 M4 W3 M1 W2 14578 36 M3 W4 M2 W3 M1 W2 M4 W1 14620 37 M4 W1 M2 W3 M1 W4 M3 W2 17476 38 M4 W1 M2 W4 M3 W2 M1 W3 17504 39 M4 W1 M3 W2 M1 W4 M2 W3 17572 40 M4 W1 M3 W4 M2 W3 M1 W2 17626 41 M4 W2 M1 W3 M2 W4 M3 W1 18076 42 M4 W2 M1 W4 M3 W1 M2 W3 18104 43 M4 W2 M3 W1 M2 W4 M1 W3 18298 44 M4 W2 M3 W4 M1 W3 M2 W1 18340 45 M4 W3 M1 W2 M3 W4 M2 W1 18802 46 M4 W3 M1 W4 M2 W1 M3 W2 18818 47 M4 W3 M2 W1 M3 W4 M1 W2 18898 48 M4 W3 M2 W4 M1 W2 M3 W1 18940 49 W1 M2 W3 M1 W4 M3 W2 M4 21379 50 W1 M2 W3 M4 W2 M1 W4 M3 21421 51 W1 M2 W4 M1 W3 M4 W2 M3 21501 52 W1 M2 W4 M3 W2 M1 W3 M4 21517 53 W1 M3 W2 M1 W4 M2 W3 M4 21979 54 W1 M3 W2 M4 W3 M1 W4 M2 22021 55 W1 M3 W4 M1 W2 M4 W3 M2 22215 56 W1 M3 W4 M2 W3 M1 W2 M4 22243 57 W1 M4 W2 M1 W3 M2 W4 M3 22693 58 W1 M4 W2 M3 W4 M1 W3 M2 22747 59 W1 M4 W3 M1 W2 M3 W4 M2 22815 60 W1 M4 W3 M2 W4 M1 W2 M3 22843 61 W2 M1 W3 M2 W4 M3 W1 M4 25699 62 W2 M1 W3 M4 W1 M2 W4 M3 25741 63 W2 M1 W4 M2 W3 M4 W1 M3 25821 64 W2 M1 W4 M3 W1 M2 W3 M4 25837 65 W2 M3 W1 M2 W4 M1 W3 M4 27043 66 W2 M3 W1 M4 W3 M2 W4 M1 27063 67 W2 M3 W4 M1 W3 M2 W1 M4 27259 68 W2 M3 W4 M2 W1 M4 W3 M1 27279 69 W2 M4 W1 M2 W3 M1 W4 M3 27757 70 W2 M4 W1 M3 W4 M2 W3 M1 27789 71 W2 M4 W3 M1 W4 M2 W1 M3 27859 72 W2 M4 W3 M2 W1 M3 W4 M1 27879 73 W3 M1 W2 M3 W4 M2 W1 M4 30763 74 W3 M1 W2 M4 W1 M3 W4 M2 30783 75 W3 M1 W4 M2 W1 M3 W2 M4 30853 76 W3 M1 W4 M3 W2 M4 W1 M2 30885 77 W3 M2 W1 M3 W4 M1 W2 M4 31363 78 W3 M2 W1 M4 W2 M3 W4 M1 31383 79 W3 M2 W4 M1 W2 M3 W1 M4 31579 80 W3 M2 W4 M3 W1 M4 W2 M1 31599 81 W3 M4 W1 M2 W4 M3 W2 M1 32805 82 W3 M4 W1 M3 W2 M1 W4 M2 32821 83 W3 M4 W2 M1 W4 M3 W1 M2 32901 84 W3 M4 W2 M3 W1 M2 W4 M1 32943 85 W4 M1 W2 M3 W1 M4 W3 M2 35799 86 W4 M1 W2 M4 W3 M2 W1 M3 35827 87 W4 M1 W3 M2 W1 M4 W2 M3 35895 88 W4 M1 W3 M4 W2 M3 W1 M2 35949 89 W4 M2 W1 M3 W2 M4 W3 M1 36399 90 W4 M2 W1 M4 W3 M1 W2 M3 36427 91 W4 M2 W3 M1 W2 M4 W1 M3 36621 92 W4 M2 W3 M4 W1 M3 W2 M1 36663 93 W4 M3 W1 M2 W3 M4 W2 M1 37125 94 W4 M3 W1 M4 W2 M1 W3 M2 37141 95 W4 M3 W2 M1 W3 M4 W1 M2 37221 96 W4 M3 W2 M4 W1 M2 W3 M1 37263 1 M1 W2 M3 W1 M4 W3 M2 W4 3056 21 M2 W4 M1 W2 M3 W1 M4 W3 9434 They are seated around a round table. I am not going to go through all the 96 combinations (yet) but will point out two to make a point. If you were to place option number 1 around a round table and option number 21 around a round table, everyone will be sitting next to the same people, in the same order. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 29, 2008 Report Share Posted July 29, 2008 1 M1 W2 M3 W1 M4 W3 M2 W4 3056 21 M2 W4 M1 W2 M3 W1 M4 W3 9434 They are seated around a round table. I am not going to go through all the 96 combinations (yet) but will point out two to make a point. If you were to place option number 1 around a round table and option number 21 around a round table, everyone will be sitting next to the same people, in the same order. But they are in different seats ,so it is a different permintation Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 29, 2008 Report Share Posted July 29, 2008 Four couples enter a restaurant. How many ways can they be seated at a round table so that the men and women alternate and no husband and wife sit next to each other? It doesn't ask for seat placement. If they did, then I would have to agree with you. Lets take option number 1 and 21, the 8 people are seated exactly the same way, just in different seats. Quote Link to comment Share on other sites More sharing options...
0 TwoaDay Posted July 29, 2008 Author Report Share Posted July 29, 2008 tearz is right, 94 of your combinations are either wrong or the same just starting at a different point, its hard but it is possible to prove all 94 wrong Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 29, 2008 Report Share Posted July 29, 2008 Who cares as long as service is good Quote Link to comment Share on other sites More sharing options...
0 TwoaDay Posted July 29, 2008 Author Report Share Posted July 29, 2008 Who cares as long as service is good lolz Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 29, 2008 Report Share Posted July 29, 2008 The food has to be good too... (And the wives!~) Quote Link to comment Share on other sites More sharing options...
0 TwoaDay Posted July 29, 2008 Author Report Share Posted July 29, 2008 of course.. lol Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 29, 2008 Report Share Posted July 29, 2008 The question is ambiguous as to whether everyone shifting one seat to the left (for instance) is a distinct "way" of seating. It's a much more interesting problem if you assume it is not, so that's what I've looked at. Here's how I approached it. Start by keeping the men seating order constant - M1 W? M2 W? M3 W? M4 W? for convenience. Each of those W spots could contain one of two women - M1 W(3,4) M2 W(1,4) M3 W(1,2) M4 W(2,3). Because of the way these are linked, this allows only 2 possibilities - M1 W3 M2 W4 M3 W1 M4 W2 and M1 W4 M2 W1 M3 W1 M4 W2. These are two distinct possibilities. You can then rearrange the order of the men sitting. The problem arising here is that you want to avoid configurations that are just rotations of other ones. To watch for this, it's easiest to always start with M1, and rearrange the others from there: M1 M2 M3 M4 M1 M2 M4 M3 M1 M3 M2 M4 M1 M3 M4 M2 M1 M4 M2 M3 M1 M4 M3 M2 Again, these are all distinct possibilities. Combining that with 2 ways each of arranging the women, you get a total of 12 possibilities: 1 M1 W2 M3 W1 M4 W3 M2 W4 3056 2 M1 W2 M3 W4 M2 W1 M4 W3 3098 3 M1 W2 M4 W1 M3 W4 M2 W3 3178 4 M1 W2 M4 W3 M2 W1 M3 W4 3194 5 M1 W3 M2 W1 M4 W2 M3 W4 3656 6 M1 W3 M2 W4 M3 W1 M4 W2 3698 7 M1 W3 M4 W1 M2 W4 M3 W2 3892 8 M1 W3 M4 W2 M3 W1 M2 W4 3920 9 M1 W4 M2 W1 M3 W2 M4 W3 4370 10 M1 W4 M2 W3 M4 W1 M3 W2 4424 11 M1 W4 M3 W1 M2 W3 M4 W2 4492 12 M1 W4 M3 W2 M4 W1 M2 W3 4520 These are all distinct from each other. If you are interpreting "how many ways" differently from this, please explain. Man oh man is work awesome. Quote Link to comment Share on other sites More sharing options...
0 TwoaDay Posted July 29, 2008 Author Report Share Posted July 29, 2008 theres only @?$%^n 2 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 29, 2008 Report Share Posted July 29, 2008 theres only @?$%^n 2 Please show me how any two of those are the same. By "the same," I mean: take the place of M1 - if everybody is in the same position from your perspective, it is "the same." Quote Link to comment Share on other sites More sharing options...
0 TwoaDay Posted July 29, 2008 Author Report Share Posted July 29, 2008 no i dont have time Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 29, 2008 Report Share Posted July 29, 2008 The question is ambiguous as to whether everyone shifting one seat to the left (for instance) is a distinct "way" of seating. It's a much more interesting problem if you assume it is not, so that's what I've looked at. Here's how I approached it. Start by keeping the men seating order constant - M1 W? M2 W? M3 W? M4 W? for convenience. Each of those W spots could contain one of two women - M1 W(3,4) M2 W(1,4) M3 W(1,2) M4 W(2,3). Because of the way these are linked, this allows only 2 possibilities - M1 W3 M2 W4 M3 W1 M4 W2 and M1 W4 M2 W1 M3 W1 M4 W2. These are two distinct possibilities. You can then rearrange the order of the men sitting. The problem arising here is that you want to avoid configurations that are just rotations of other ones. To watch for this, it's easiest to always start with M1, and rearrange the others from there: M1 M2 M3 M4 M1 M2 M4 M3 M1 M3 M2 M4 M1 M3 M4 M2 M1 M4 M2 M3 M1 M4 M3 M2 Again, these are all distinct possibilities. Combining that with 2 ways each of arranging the women, you get a total of 12 possibilities: 1 M1 W2 M3 W1 M4 W3 M2 W4 3056 2 M1 W2 M3 W4 M2 W1 M4 W3 3098 3 M1 W2 M4 W1 M3 W4 M2 W3 3178 4 M1 W2 M4 W3 M2 W1 M3 W4 3194 5 M1 W3 M2 W1 M4 W2 M3 W4 3656 6 M1 W3 M2 W4 M3 W1 M4 W2 3698 7 M1 W3 M4 W1 M2 W4 M3 W2 3892 8 M1 W3 M4 W2 M3 W1 M2 W4 3920 9 M1 W4 M2 W1 M3 W2 M4 W3 4370 10 M1 W4 M2 W3 M4 W1 M3 W2 4424 11 M1 W4 M3 W1 M2 W3 M4 W2 4492 12 M1 W4 M3 W2 M4 W1 M2 W3 4520 These are all distinct from each other. If you are interpreting "how many ways" differently from this, please explain. Man oh man is work awesome. um....wow..... Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 29, 2008 Report Share Posted July 29, 2008 no i dont have time It shouldn't take too long. If there are only two, then you can just find which two are correct, and then show how another one is a duplicate of those. Just show they any two of them are the same, and you will have proved me wrong. Quote Link to comment Share on other sites More sharing options...
0 TwoaDay Posted July 29, 2008 Author Report Share Posted July 29, 2008 they are all (i think) correct, the problem is that they are all variations of the two answers and it is dificult to find how they are changed Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 29, 2008 Report Share Posted July 29, 2008 i reasearched it and there are definately only two answers it will be really, REALLY hard for anyone to change my mind or prove my wrong (and thats probably because its impossible, i know im right) and again GJ tearz might i suggest you post a link to your source and then we can take the time ourselves to see the reasoning for only 2, i am seeing that 12 is a reasonable answer and then if the first person can sit in any of 8 different starting chairs there should be around 96 possibilities Quote Link to comment Share on other sites More sharing options...
0 TwoaDay Posted July 29, 2008 Author Report Share Posted July 29, 2008 this book http://cgi.ebay.com/Great-Critical-Thinkin...807061921r25486 says two and shows them as shapes around a circle Quote Link to comment Share on other sites More sharing options...
0 TwoaDay Posted July 29, 2008 Author Report Share Posted July 29, 2008 here you can find the answer on this page http://books.google.com/books?id=i3LewGIwA...result#PPA89,M1 Quote Link to comment Share on other sites More sharing options...
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Four couples enter a restaurant. How many ways can they be seated at a round table so that the men and women alternate and no husband and wife sit next to each other?
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