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Math nerdy help needed on a creative project


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sunrain
Veteran Member
 
Join Date: Jun 2004
Location: Portlandia
 
2009-10-13, 17:54

Hello hello.

I need a list that shows all the ways that the numbers 1-6 can combine between themselves and with another group of the same set of numbers. Order does not matter and (this is what I assume is the tricky part) only groups of (2,3,4, and 5) numbers should be considered. I have no idea how to calculate this and I figured it was probably trivial for the math whizzes around here.

"What a computer is to me is it's the most remarkable tool that we've ever come up with, and it's the equivalent of a bicycle for our minds."
- Steve Jobs
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tomoe
Veteran Member
 
Join Date: Nov 2006
 
2009-10-13, 17:59

Is this with or without replacement? i.e. can you have 11, 22, 33, etc.?
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sunrain
Veteran Member
 
Join Date: Jun 2004
Location: Portlandia
 
2009-10-13, 18:02

Excellent question I didn't think of. I wouldn't want that.
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Lucid
Member
 
Join Date: Oct 2009
Location: My Head
 
2009-10-13, 20:58

I'm not quite sure that I understood your problem correctly, but I think you're asking for every combination of numbers in the set {1, 2, 3, 4, 5, 6} of lengths 2 through 5, without repeats. If I'm right, then this should be the list, which I wrote a simple program to generate (and you could also do this by hand fairly quickly). If you want to see the code, which I highly doubt you do, I can post it later.
Code:
Length 2: 1 2 1 3 1 4 1 5 1 6 2 3 2 4 2 5 2 6 3 4 3 5 3 6 4 5 4 6 5 6 Length 3: 1 2 3 1 2 4 1 2 5 1 2 6 1 3 4 1 3 5 1 3 6 1 4 5 1 4 6 1 5 6 2 3 4 2 3 5 2 3 6 2 4 5 2 4 6 2 5 6 3 4 5 3 4 6 3 5 6 4 5 6 Length 4: 1 2 3 4 1 2 3 5 1 2 3 6 1 2 4 5 1 2 4 6 1 2 5 6 1 3 4 5 1 3 4 6 1 3 5 6 1 4 5 6 2 3 4 5 2 3 4 6 2 3 5 6 2 4 5 6 3 4 5 6 Length 5: 1 2 3 4 5 1 2 3 4 6 1 2 3 5 6 1 2 4 5 6 1 3 4 5 6 2 3 4 5 6
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sunrain
Veteran Member
 
Join Date: Jun 2004
Location: Portlandia
 
2009-10-13, 21:17

Lucid,
Thanks for the reply. That shows all the ways that the numbers 1-6 can combine between themselves of lengths 2-5. For my whole problem to be solved I also need that group of combinations compared in the same way against another group of the same set of numbers. I'm terrible at word problems so I hope I'm phrasing this clearly.

"What a computer is to me is it's the most remarkable tool that we've ever come up with, and it's the equivalent of a bicycle for our minds."
- Steve Jobs
  quote
billybobsky
BANNED
I am worthless beyond hope.
 
Join Date: May 2004
Location: Inner Swabia. If you have to ask twice, don't.
 
2009-10-14, 12:15

what? what do you mean by compared?
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Bryson
Rocket Surgeon
 
Join Date: Feb 2005
Location: The Canadark
 
2009-10-14, 13:54

Rather than abstracting it, tell us what you're actually trying to do and we might understand the question better. Right now I'm unclear what you mean - it might make more sense with some context.
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Lucid
Member
 
Join Date: Oct 2009
Location: My Head
 
2009-10-14, 17:05

Yeah, I'm having trouble understanding what you want to do with the second set. You stated that you don't want any repeated numbers in the list (like 11, or 11451) so I don't see what the second set would add to the list, seeing as they are the same numbers. A clarification of what the second set signifies would be nice, as well as putting the problem in context as Bryson suggested.
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