This is very similar to example 11 on page 379:
Since it explicitly says "No simple closed formula exists for this number [indistinguishable objects and indistinguishable boxes]," the best way to go about the problem is simply list the solutions.
Box 1: 5 4 3 3 2
Box 2: 0 1 1 2 2
Box 3: 0 0 1 0 1
So, the answer is 5.
--Djallen 19:17, 24 September 2008 (UTC)
Comments:
This solution is correct; although it is very interesting that counting something like this has no closed formula especially since the problem is very general.
--ysuo 23:47, 5 October 2008 (UTC)
This is a very good answer. I like the way you organized the work. Very well done.
--pstechsc 16:34, 6 October 2008 (UTC)
