Re: What is Data Model FOR?

From: Arthur Keller <arthur_at_kellers_dot_org>
Date: Thu Apr 29 2004 - 13:00:45 CDT

At 1:42 PM -0400 4/29/04, David Mertz wrote:
>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.

OK, I converted it to Courier. Since you like to have fun with math,
how about giving us a table for values of M from 1 to 10. Thanks.

Best regards,
Arthur

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Received on Fri Apr 30 23:17:23 2004

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