Το "choice" είναι ήδη δεκτό. Το "choise" δεν είναι πολύ συχνό
(More than that might imply—"choise" is just wrong.)
Right, I saw that it's listed as "archaic," but note that the latest use listed is in 1845, over 150 years ago. In Modern English, it's absolutely an error, and, in fact, I've never seen it written before.
The choice αριθμος 2 (: