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 01-09-2005, 02:57 PM #1 (permalink) Ultra Techie   Join Date: Nov 2004 Posts: 862 Help, Please! I know this is a Tech-Forum and I'll take heat for this, but I really need help with my schoolwork. There is this one problem I can't figure out and it is for math. Can you guys help? This is how the problem goes. Three red hats and three blue hats are packed in three boxes, with two hats to a box. The boxes are all labeled incorrectly. To determine what each box actually contains, you may select one bohat from one box, without looking at the contents of that box. Explain how this will allow you to determine the contents of each box. (Hint: List all possible solutions; then use logic to solve.) Box 1 has label Red & Red, Box 1 is Blue & Blue, Box 3 is Red & Blue; remember they are labeled incorrectly. What I can't understand is what solutions, let alone the question. Please help me. Thank you. __________________
 04-15-2005, 12:08 AM #2 (permalink) Wizard Techie   Join Date: Jan 2004 Posts: 3,190 Oh dude, I know this is mad old, but still... Bad news man, bad news. Killed my buzz imediately. __________________
 04-15-2005, 04:01 AM #3 (permalink) Wizard Techie   Join Date: Mar 2004 Posts: 3,782 Google my friend! __________________ Core 2 Duo E6400, DFI Infinity 975X/G, 2x 512mb DDR2 667mhz, Albatron 7900gt, WD 200gb SATA, Samsung DVD-RW, Silverstone ST-50EF 500w PSU.
 04-15-2005, 08:34 AM #4 (permalink) True Techie   Join Date: Apr 2005 Posts: 148 If your problem is in a math book then check the back, many books have answers to the study questions in the back. -GrayWolf
 04-15-2005, 08:36 AM #5 (permalink) Monster Techie   Join Date: Jul 2004 Posts: 1,847 I am so confused . -Dan The Man __________________
 04-15-2005, 12:02 PM #6 (permalink) Wizard Techie   Join Date: Jan 2004 Posts: 3,190 Math books usually only have the answers to the Odd questions in the back. If it is an even number problem, he's out of luck.
Super Techie

Join Date: Jan 2005
Posts: 441

Quote:
 Originally posted by Megadeth2 To determine what each box actually contains, you may select one bohat from one box, without looking at the contents of that box.
Whats a bohat?
Is this some sort of American term I'm unaware of or just a typo?

 04-15-2005, 12:29 PM #8 (permalink) Monster Techie     Join Date: Jan 2005 Location: Canada Posts: 1,523 This should be easy. Lemme think about it. There are 6 unknowns - the six err.. hats. There are six equations - ALL boxes are labelled incorrectly (3 equations) - You can figure out the identity of 1 hat (1 equations). One you pull out. - 3 blue hats and 3 red hats (2 equations) From 6 equations, and 6 unknowns, you can always find a unique solution assuming the equations are not redundant. In this case they are not as they all give you unique information. Think about it. .. EDIT: ma bad. didn't read question correctly. I rewrote it to make it accurate. __________________ C++ compiler, Wikipedia - online encyclopedia, Free online textbooks, Yahoo! Desktop, Avast! anti-virus, Best freeware TF links: Important websites, Freeware list
 04-15-2005, 12:37 PM #9 (permalink) Super Techie   Join Date: Jan 2005 Posts: 441 Theres only 2 possible combinations you could have : If all labels are wrong then : box 1 : can contain either B + B OR R + B box 2 : can contain either R + R OR R + B box 3 : can contain either R + R oR B + B IF B1 = B+B B2 = R + R THEN BOX 3 = R+B SO INCORRECT IF B1 = B+B B2 = R+B B3 = R+R IF B1 = R+B B2 = R+R B3 = B+B IF B1 = R+B B2 = R+B B3 = R+B SO INCORRECT Hope that at least narrows it down a bit for you. Tell me a bohat is & I'll work out the exact answer!
 04-15-2005, 12:48 PM #10 (permalink) Monster Techie     Join Date: Jan 2005 Location: Canada Posts: 1,523 Fine . I'll give u the full solution in the form of an algorithm. Before, I just wanted to show u that it is mathematically possible. Box 1 must have a BLUE Box 2 must have a RED Box 3 is either (BB or RR) Pick ONE from box 3 as per question. So you know whether it's BB or RR. Then you have 1 left of that color and 3 left of the other color The "ONE" color left will go to either Box 1 or 2 depending on which color it is. One of the triplets will go to that box too. The other one will get the other 2 colors. Easy __________________ __________________ C++ compiler, Wikipedia - online encyclopedia, Free online textbooks, Yahoo! Desktop, Avast! anti-virus, Best freeware TF links: Important websites, Freeware list

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