[EM] number of ways to vote a ranked ballot.
Rob LeGrand
honky1998 at yahoo.com
Mon Apr 30 13:31:23 PDT 2001
Martin wrote:
> Ok, if there are n candidats then there are n! ways to vote a fully
> ranked ballot, and {int(e x n!)} ways to vote a truncated ballot, or
> {int((e-1) x (n!) - 1)} ways if you count votes like A>B>C(>D) as
> equivalent to A>B>C>D. All this I've found out by reading around
> websites and such.
>
> However, I can't seem to find anywhere which says how many ways there
> are to vote a ranked ballot which allows draws in arbitrary places, and
> I can't see any way to work it out. Any maths/stats people here know
> what the answer is, or where I might find out?
I haven't been able to figure out a simple general formula, but here are my
results for up to 6 candidates:
candidates: 1 2 3 4 5 6
possible ballots: 1 3 13 75 541 4683
=====
Rob LeGrand
honky98 at aggies.org
http://www.aggies.org/honky98/
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