Re: What is Data Model FOR?

From: David Mertz <voting-project_at_gnosis_dot_cx>
Date: Thu Apr 29 2004 - 12:42:08 CDT

On Apr 29, 2004, at 12:25 PM, Arthur Keller wrote:
> Since ranked preference voting says: A, B, C is different than B, A,
> C, there are more than 6 possible vote combinations for 3 candidates.
> (ABC, ACB, BAC, BCA, CAB, CBA are the full ones; also A, B, C, AB, BA,
> AC, CA, BC, CB, and no choices selected. Wow, that's 16 choices. Does
> someone have a formula in closed form for the number of possible
> rankings for n candidates?

Well... you've already almost given it:

for
   M = Number of Candidates ;
   N = Maximum number of slots ;
   P(N/M) = Permutations of N out of M = M!/(M-N)! ;

V(N/M) = Possible votes =

  /.---- \
| \ |
| / P(X/M) | + 1
| '---- |
  \ X=1 to N /

        
You'll need to look at my ASCII art in a fixed font to see it right.
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Received on Fri Apr 30 23:17:22 2004

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