1. ## Generating function problem

Hi, can anyone help me with this:

Using generating functions, find in how many ways can you get the number 25 by adding the numbers 1, 2, 5 and 10.

2. ## Re: Generating function problem

What do you mean by "generating functions"?

3. ## Re: Generating function problem

Originally Posted by MaryLaine
Hi, can anyone help me with this:

Using generating functions, find in how many ways can you get the number 25 by adding the numbers 1, 2, 5 and 10.
$\large{\left( {\sum\limits_{k = 0}^{25} {{x^k}} } \right)\left( {\sum\limits_{k = 0}^{13} {{x^{2k}}} } \right)\left( {\sum\limits_{k = 0}^5 {{x^{5k}}} } \right)\left( {\sum\limits_{k = 0}^3 {{x^{10k}}} } \right)}$

SEE HERE

4. ## Re: Generating function problem

Originally Posted by MaryLaine
Hi, can anyone help me with this:

Using generating functions, find in how many ways can you get the number 25 by adding the numbers 1, 2, 5 and 10.
https://en.wikipedia.org/wiki/Generating_function

5. ## Re: Generating function problem

Originally Posted by Plato
$\large{\left( {\sum\limits_{k = 0}^{25} {{x^k}} } \right)\left( {\sum\limits_{k = 0}^{13} {{x^{2k}}} } \right)\left( {\sum\limits_{k = 0}^5 {{x^{5k}}} } \right)\left( {\sum\limits_{k = 0}^3 {{x^{10k}}} } \right)}$

SEE HERE
Thank you so much!