I'm not sure if I'm thinking about this the right way, but here is what I came up with. There are $ {15 \choose 1}=15 $ ways to put an object in box 1. With 14 objects left, there are $ {14 \choose 2} $ ways to put 2 objects in box 2. This continues until you have $ {5 \choose 5}=1 $ ways to put 5 objects in box 5. Multiplying these terms together, the answer is 37,837,800, which I thought seemed high even for this kind of problem. Did anyone else get this?
