¿Qué tal
select id, name, city, state, selcount from t
where exists
(
select 1 from
(select name, city, state, max(selcount) selcount
from t
group by name, city, state) s
where s.name = t.name and s.city = t.city and s.state = t.state and s.selcount = t.selcount
)
He creado un SQL Fiddle para que esto muestre un ejemplo práctico.