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MathGroup Archive 2004

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permutations?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg46466] permutations?
  • From: sean_incali at yahoo.com (sean kim)
  • Date: Thu, 19 Feb 2004 03:02:29 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

I think this is a permutation problem. but i'm not sure. do correct
me.

let's say you have...

a, b, c, d, e   and...

a', b', c', d', e'

what are the possible combination will go from a( or a' ) to e ( or
e')

so that you get...

{a b c d e}, {a b c d e'}, {a b c d' e}, {a b c d' e'}, {a b c' d e},
{ a b c' d' e}, {a, b, c' d e'}, {a, b, c' d' e'}....so on

I have 32 from doing it the brute force way by hand.  how do i do that
with Mathematica? I don't think it's fully connected graph.  because a only
connects to downstream b or b'

also... what kinda problem is described above? 

Thank you all very much in advance for any thoughts and comments. 

sean


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