How many ways are there to distribute five indistinguishable objects into three identical boxes?

So this means five objects into three boxes. It doesn't matter the order so we can count out our possibilities.

1.) 5-0-0

2.) 4-1-0

3.) 3-1-1

4.) 2-2-1

5.) 2-3-0

Now there are only five possibilities due to the fact that everything is indistinguishable. What i have shown is the out comes, all five objects into one box or four in one and one in another. ect