Question

Five dogs (Fido, Ruff, Lassie, Odie, and Snoopy) were playing in the park. Altogether, they had 5 identical Frisbees. In how many ways could the 5 Frisbees be distributed among the dogs when they leave the park to go home?

Answer 1

what are the partitions of 5?
0,0,0,0,5
0,0,0,1,4
...
1,1,1,1,1

Answer 2

I don't get it.
Since all the frisbees are the same, and assuming no dog gets more than 1 frisbee, there would be only 1 way.

If they were different, there would be 5! or 120 ways