Thread: generating functions quesiton

using generating functions to determine the number of different ways 10 identical ballons can be given to four children if each child receives at least two balloonss. Can you help me please ?

Originally Posted by jacklarson

using generating functions to determine the number of different ways 10 identical ballons can be given to four children if each child receives at least two balloonss. Can you help me please ?

Expand $\displaystyle \left( {\sum\limits_{k = 2}^5 {x^k } } \right)^4 .$
Look at the coefficient of $\displaystyle x^{10}$ for the number of ways.