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#1 Re: Help Me ! » Generating Functions Problems » 2014-09-21 14:52:24
If you multiply them, you get:
And we need to find the x^80 coefficient.
#2 Re: Help Me ! » Generating Functions Problems » 2014-09-20 12:12:16
I have gotten the functions and multiplied them:
(1+x^2+x^5)(1/(1-x)) * (x^2/(1-x^2)) = [x^2 (1+x^2+x^5)]/[(1-x)^2 * (1-x)]= (x^2+x^4+x^7)/(1-x)^3
It looks kinda ugly here so you should write it on paper. It would look a lot better.
From the other problems, I know that I'm almost done, but I still don't understand how you get past this barrier.
Thank you for your help!
#3 Re: Help Me ! » Generating Functions Problems » 2014-09-19 14:45:04
5) Determine how many ways I can distribute 80 candies to 3 kids, such that:
The first kid receives an arbitrary number of candies (possibly 0).
The second kid receives an even positive number of candies.
The third kid receives 0, 2, or 5 candies.
Every candy is distributed.
#4 Re: Help Me ! » Generating Functions Problems » 2014-09-18 16:34:21
4) What is the coefficient of x^{11} in the power series expansion of 1/(1-x-x^4)?
#5 Help Me ! » Generating Functions Problems » 2014-09-17 17:05:19
- pokemonmaster101
- Replies: 13
1) In how many ways can I collect a total of 20 dollars from 4 different children and 3 different adults, if each child can contribute up to 6 dollars, each adult can give up to 10 dollars, and each individual gives a nonnegative whole number of dollars?
2) Find the sum of the coefficients of
and in the power series expansion of[latex fixed by admin]
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