Einstein's Riddle

Ziran
Ziran
Joined: 26 Nov 04
Posts: 194
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1, Mark, Patti, Labrador,


1, Mark, Patti, Labrador, Starters
3, Jane, Tiff, Collie, Senior
4,Ruth, Jago, Doberman, Novice
9,Terry, Kelly, Alsatian, Elementary

6. Mark won Starters.-> 1, mark, starters
5. The dog that finished ninth was an alsatian -> 9, alsatian
9.+5. -> 9, alsatian, Kelly, Terry
10. Patti finished first -> 1, Patti
7. Patti is a labrador
8.+2. ->Ruth, Jago, Doverman + Jane, tiff, collie
11. -> 3, Jane + 4, Ruth
9. -> 4, Novice class
3. -> 3, Senior class + 4, Elementary class


Then you're really interested in a subject, there is no way to avoid it. You have to read the Manual.

Erik
Erik
Joined: 14 Feb 06
Posts: 2815
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Good job Ziran!

Good job Ziran!

Chipper Q
Chipper Q
Joined: 20 Feb 05
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I went through almost an


I went through almost an entire eraser on that one, hopefully it's correct :)

Jane's dog is Tiff, a Collie, competed at Senior level, took 3rd place.
Mark's dog is Patti, a Labrador, competed at Starters level, took 1st place.
Ruth's dog is Jago, a Doberman, competed at Novice level, took 4th place.
Terry's dog is Kelly, an Alsatian, competed at Elementary level, took 9th place.

Erik
Erik
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Good job Chipper Q! (sry it

Good job Chipper Q! (sry it took so long to get back on this, 12 hr. days at work)

Chipper Q
Chipper Q
Joined: 20 Feb 05
Posts: 1540
Credit: 708571
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RE: Good job Chipper Q!

Message 64344 in response to message 64343

Quote:
Good job Chipper Q! (sry it took so long to get back on this, 12 hr. days at work)


oooow, I know what 12 hour days are like :)
No rush on the next puzzle. Did you already finish the floor?
- - -
@ Ziran: You're pretty good at this sort of stuff. I was trying to figure out the total number of possibilities for the last problem (with no clues given), and came up with 1820. Do you know if that's correct? (I did 16 objects with 4 combinations, 16! / 4!(16-4)! = 1820)

Erik
Erik
Joined: 14 Feb 06
Posts: 2815
Credit: 2645600
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RE: -snip- Did you already

Message 64345 in response to message 64344

Quote:
-snip- Did you already finish the floor?

No, in the process of stripping the wood down. I still need to get the computers moved out of the dining room (we cut the carpet away from around them and pulled up the rest). Not much hurry on this project.

Here's links to a couple of pics. In the first one you can see where once upon a time where there used to be an area rug before it was carpeted. The other pic is of the ceiling beams. I think those may end up being refinished also (oh dread!)

Pic 1

Pic
2

-edit- I haven't been able to figure out why the second one won't show up as a link...

Chipper Q
Chipper Q
Joined: 20 Feb 05
Posts: 1540
Credit: 708571
RAC: 0

RE: RE: -snip- Did you

Message 64346 in response to message 64345

Quote:
Quote:
-snip- Did you already finish the floor?

No, in the process of stripping the wood down. I still need to get the computers moved out of the dining room (we cut the carpet away from around them and pulled up the rest). Not much hurry on this project.

Here's links to a couple of pics. In the first one you can see where once upon a time where there used to be an area rug before it was carpeted. The other pic is of the ceiling beams. I think those may end up being refinished also (oh dread!)

Pic 1

Pic
2

-edit- I haven't been able to figure out why the second one won't show up as a link...


It looks like maple, should look very nice! Also looks like original knob and latch hardware in the door; I always liked that style knob, like giant diamonds :)
Are those real beams there on the ceiling?

- - -

I think I figured it out, the total number of possible combinations for the last puzzle, that is. If there were just 4 people and 4 dogs, then there would be 4! = 24 possibilities. Then, considering the possibilities for 4 different breeds for each dog, that means there are 24 possibilities for each of the first 24 possibilities, which is 24 x 24 = 576 possibilities. In addition to those possibilities, there are the 24 possibilities each for combinations of competition level and awards. So altogether, it could be written as (4!)^4 = 24 x 24 x 24 x 24 = 331,776 total possibilities. Interesting that only 11 clues were necessary to yield one unique solution out of that many possibilities, but I think there's a better method for solving it than the trial & error I used. I mentioned the puzzle to a friend, who said it's solved in the same way that multiplexers are designed, but I'm still checking on that... :)

Ziran
Ziran
Joined: 26 Nov 04
Posts: 194
Credit: 459726
RAC: 1582

Thanks Chipper Q. I like

Message 64347 in response to message 64346

Thanks Chipper Q. I like solving puzzles like these now and then. Have you tried Sudoku puzzles? (4!)^4 Sounds right. (4*3*2*1)^4

Quote:
Interesting that only 11 clues were necessary to yield one unique solution out of that many possibilities,

If you look at my solution, I think I only used 9 of the 11 clues to solve the puzzle.

Then you're really interested in a subject, there is no way to avoid it. You have to read the Manual.

Jim Langston
Jim Langston
Joined: 20 Mar 05
Posts: 1
Credit: 12053
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I've solved this problem

I've solved this problem before the first time I saw it who knows how long ago. I used to do logic problems with these same type of problems and learned how to make the tables to more easily solve them.

There are very few that give me problems. I think that this problem was not that difficult, but I would agree, that maybe only 2% of the population could solve it. I was only able to solve it because I was taught/trained how.

Chris S
Chris S
Joined: 27 Aug 05
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Sorry double post

Message 64349 in response to message 64345

Sorry double post

Waiting for Godot & salvation :-)

Why do doctors have to practice?
You'd think they'd have got it right by now

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