The elimination could be done several ways: (1) limit a certain number by sector, (2) eliminate by size and/or market Cap, (3) eliminate by risk/reward ie) expected total return if held three years and then annualize that number and rank the group, (4) sort the group by 5 year PE or many other approaches.

Or selectively choose one of the candidate stocks to eliminate by making an argument against. You could compare similar candidate companies like F & CMI choosing the one to keep and the one to eliminate and/or just a simply reason to eliminate a stock.