Through March Madness 2008, Syracuse had made the final four 4 times: 2003, 1996, 1987, 1975 Syracuse was the national championship in 2003.
The Syracuse Orangemen have made 19 appearances in the Sweet 16
The Orangemen are actually no longer called the Orangemen, and have been forced to change it to simply Syracuse Orange. The term Orangemen was seen as a racial slur against Native Americans, and the mascot was retired several years ago.
As long as they have had a mascot they've been the Orangemen (changed to just the Orange in 2004) but in 1890 they changed the school color from rose pink and pea green to orange and the mascot grew from that.
Syracuse has appeared in the the Men's NCAA Basketball tournament 32 times.
Through 2012, Kansas (KU) has been to the Final Four 14 times.
Montana has never been in the Final Four.
West Virginia has been to the Final Four 2 times: 1959 and 2010.
Arkansas has been to the Final Four 6 times: 1941, 1945, 1978, 1990, 1994 and 1995.
They have never been in the final.