generating fcns: distributing 25 identical items to 10 kids

[kjetta8]

Use generating functions as an aid to find the number of ways to distribute 25 identical sour patch kids to 10 children if each child can only get exactly 0 3 or 8 sour patch kids?

Any help would be great.

 

[pka]

\(\displaystyle \L \left( {1 + x^3 + x^8 } \right)^{10} .\)

I get \(\displaystyle \L\; 2520x^{25}\).