[MOVED] Use generating fcns to find ways of getting....

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kjetta8

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Use generating functions as an aid to find the number of ways to get a sum of 25 when 10 distinct (6-sided) dice are rolled.

Any help would be greatly appreciated. I am not really sure how to start.
 
Expand. The coefficient of x^25 is what you are looking for.


\(\displaystyle \L\\\left(\sum_{k=1}^{6}x^{k}\right)^{10}\)
 
generating functions

Yes, i got the expansion. What I need help with now is finding the coefficient? I am very confused on this part.
 
If you expanded, then you should see x^25 among the many. That coefficient is the number of ways a sum of 25 can be gotten with ten dice.
 
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