Paul Kislanko wrote: > > > If equal ranknigs are allowed, it's N! + 2^N - 1 . . . > No, it really is 2^N - 1, not 2^(N-1). It's the sum of the ways to > select 1,2,...N-1 of N-1 choices for where an = sign can go.
Could you explain how you derived that formula? I don't think it gives the correct result for N = 4. 4! + 2^4 - 1 = 39, but I think there are 73 possible rankings: 24 of the form A>B>C>D 12 of the form A=B>C>D 12 of the form A>B=C>D 12 of the form A>B>C=D 4 of the form A=B=C>D 4 of the form A=B>C=D 4 of the form A>B=C=D 1 of the form A=B=C=D -- Rob LeGrand, psephologist [EMAIL PROTECTED] Citizens for Approval Voting http://www.approvalvoting.org/ __________________________________________________ Do You Yahoo!? Tired of spam? Yahoo! Mail has the best spam protection around http://mail.yahoo.com ---- election-methods mailing list - see http://electorama.com/em for list info
