No. But considered joining big ten at one point in time.
Currently there are eleven, but Nebraska will be joining them in the 2011-2012 season, so there will be twelve. It is called the big ten because originaly there was ten.
no
Collingwood, Hawthorn, Geelong, Richmond, Essondon, Sydney Swans, Carlton, Bulldogs and so on.
Michigan State previously played in the Michigan Collegiate Athletic Association which is currently the oldest of all collegiate leagues. Michigan State was then known as Michigan Agricultural College. In 1907 Michigan State became an independent and in 1949 announced that the school would be joining the Big Ten Conference.
PSU
Ohio State
No, Ohio State does not play anyone for any trophy. The closest thing to a trophy in an Ohio State/Michigan game came during the 1897 matchup, called "The Game," after which a helmet was exchanged. Ohio State is the only Big Ten school that does not have a trophy game against a conference opponent, and they have been the only school to meet this criteria since joining the Big Ten in 1950.
Michigan
indiana
purdue
Northwestern. By far.