Answer:
Yes, there are more ways to distribute 19 cookies among 18 students than 18 cookies among 19 students.
Explanation:
19 cookies can be distributed among 18 students in 18^19 ways
18^19 = 708235345355337676357632 ways
While 18 cookies can be distributed among 19 students in 19^18 ways
19^18 = 104127350297911241532841 ways
Since 18^19 is greater than 19^18, then there are more ways to distribute 19 cookies among 18 students than 18 cookies among 19 students.
