Law School Discussion

Logic Game #2 October 1999

Logic Game #2 October 1999
« on: July 25, 2009, 09:43:13 AM »
I am having some trouble setting this game up, and could use some help.  The Logic Games Bible defines the game as: Grouping: defined-fixed, unbalanced: overloaded, identify the templates

The game is as follows:

Two mannequins-1 and 2-will be dressed for display in outfits chosen from ten articles of clothing.  Each article is in exactly one of three colors: navy, red, or yellow.  There are three hats-one in each color; three jackets-one in each color; three skirts-one in each color, and one red tie.  Each mannequin wears exactly one of the hats, one of the jackets, and one of the skirts.  Furthermore, their outfits must meet the following restrictions:

Neither manequin wears all three colors.
Each mannequin wears a hat in a different color from the jacket it wears.
Mannequin 2 wears the navy skirt.
Mannequin 1 wears the tie.

Any help would be greatly appreciated! thanks

Re: Logic Game #2 October 1999
« Reply #1 on: July 26, 2009, 08:39:30 AM »
This is a great game that tends to give people a lot of trouble. Just a quick note before getting into it: review the threads at the top of the boards. You shouldn't be posting full questions on the boards. Simply reference the PT number, section and question number(s) and perhaps a word or two (e.g. mannequin game) for clarification.

That being said, here's the basic idea:

You know that each mannequin wears one hat, one jacket and one skirt... and one of them might get a tie. Your job is to figure out the color. Here's a good basic set-up:

Hat  __   __
Jac  __   __
Skt  __   __

For each type of clothing (e.g., hat), there are only three hats -- one of each color, red, navy and yellow. So, if Mannequin 1 gets the red hat, Mannequin 2 must wear then navy or yellow hat.

The last two rules are pretty clear and add information right into the sketch. The second rule should be notated in your sketch. The first rule is probably the most important.

The trick to this game is realizing that you already know one color that each mannequin is wearing. Mannequin 1 wears red and Mannequin 2 wears navy. It's not possible to wear all items of one color (since each mannequin must wear a hat and jacket of different colors). And, it's not possible to wear all three colors (by the first rule). That means that each mannequin must wear exactly two colors.

That leads to important information about the hat and jacket for each mannequin. Since the hat and jacket have to be different, Mannequin 1 must have a red hat or red jacket and Mannequin 2 must have a navy hat or navy jacket. This makes short work of a few questions and helps save time with many others.

HTH. If you have further questions, please let us know.

- Chris

Re: Logic Game #2 October 1999
« Reply #2 on: July 27, 2009, 09:20:25 AM »
Ahhh, I see, I don't know why I didn't think to set it up that way.  Thanks for your help.