While trying to solve a problem with from STEP questions, I encountered this. I am not sure whether this approach is right for that question but this doesn't look like the right way to approach. Any information would be helpful.

  • $\begingroup$ what is "this" approach? perhaps you meant to have a hyperlink? $\endgroup$ – R_D Oct 19 '15 at 8:50
  • $\begingroup$ What is the denominator in 1/(1-x^10)(1-x^5)(1-x^2)(1-x)? $\endgroup$ – A.Γ. Oct 19 '15 at 8:51
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    $\begingroup$ Use $\frac{1}{1-y} = 1 + y + y^2 + y^3+....$ and then just count who will give you the required index. $\endgroup$ – Shailesh Oct 19 '15 at 8:52
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    $\begingroup$ While we wait for Shailesh to find the time you can study generatingfunctionology and some examples such as this, this or this. Plenty of other good examples. $\endgroup$ – Jyrki Lahtonen Oct 19 '15 at 9:28
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    $\begingroup$ This is also something that might be interesting in connection with this question. Maybe that coin problem is the origin? $\endgroup$ – mickep Oct 19 '15 at 9:35

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