Answer:
You just select a random sample from the first 3500 and a random sample from the 3501 to the 6500.
The part time students have the most probability to get selected.
Explanation:
In order to select a random sample from the 6500 students and you want 10 from both of the part time and full time students, you just select at random from 1 to 3500 to select 10 random students that are full time, and then you just have to select a random sample from the 3501 to the 6500 numbers on the list, obvisuly since there are more full time students in the least they will have less probability to get selected.