The answer is 1/20 .............
Assume N students
Student 1 can get (n-1) papers
Student 2 can get (n-1) papers
Student 3 can get (n-1) papers
etc
Student N can get (n-1) papers
So for N students you can have N(n-1)
Statement 1 is true.
-Hope this helps, have a nice day! :)