How many ways are there to put 6 toys in 3 boxes if the toys are not distinguishable but the boxes are?
+118723 How many ways are there to put 6 toys in 3 boxes if the toys are not distinguishable but the boxes are?
The only relevant thing is how many toys go into each box :)
I get
| Count | Box1 | Box2 | box3 |
| 1 | 6 | 0 | 0 |
| 2 | 5 | 1 | 0 |
| 3 | 5 | 0 | 1 |
| 4 | 4 | 2 | 0 |
| 5 | 4 | 1 | 1 |
| 6 | 4 | 0 | 2 |
| 7 | 3 | 3 | 0 |
| 8 | 3 | 2 | 1 |
| 9 | 3 | 1 | 2 |
| 10 | 3 | 0 | 3 |
| 11 | 2 | 4 | 0 |
| 12 | 2 | 3 | 1 |
| 13 | 2 | 2 | 2 |
| 14 | 2 | 1 | 3 |
| 15 | 2 | 0 | 4 |
| 16 | 1 | 5 | 0 |
| 17 | 1 | 4 | 1 |
| 18 | 1 | 3 | 2 |
| 19 | 1 | 2 | 3 |
| 20 | 1 | 1 | 4 |
| 21 | 1 | 0 | 5 |
| 22 | 0 | 6 | 0 |
| 23 | 0 | 5 | 1 |
| 24 | 0 | 4 | 2 |
| 25 | 0 | 3 | 3 |
| 26 | 0 | 2 | 4 |
| 27 | 0 | 1 | 5 |
| 28 | 0 | 0 | 6 |
