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

[kjetta8]

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.

 

[stapel]

I am not really sure how to start.

Have generating functions not been covered yet in class? There should have been an example specific to dice.

Thank you.

Eliz.

 

[galactus]

Expand. The coefficient of x^25 is what you are looking for.


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

 

[kjetta8]

generating functions

Yes, i got the expansion. What I need help with now is finding the coefficient? I am very confused on this part.

 

[galactus]

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.

 

[kjetta8]

ok, got it!

thanks