100 tickets, of which eighty were sold to distinct UO students and twenty sold to distinct Carleton students (one ticket per student), are entered in the prize draw. 5 prizes are drawn: Grand Prize, Second Prize, and 3 more prizes. How many ways are there to award prizes if: last 3 prizes are identical and there are no extra restrictions? Last three prizes are distinct, the Grand Prize goes to a UO student, and the Second Prize goes to a Carleton student?