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I’m a high school student, and I’m currently working on an essay about to what extent could generating function help solve combinatorial problems. This is a general question and topic, I don’t know whether it’s a topic that I could do some research. Also, I don’t know where to start. Should I change my research question? If I need to finish this research what should I do first? Please help me.

Lucem L
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    Maybe Chapter 1 of Wilf's book would be a good place to start? – angryavian May 08 '24 at 05:29
  • Is this IB EE or IA? If so, you should probably be a little more specific about the kind of combinatorial problems. – Naitik Mundra May 08 '24 at 05:58
  • @NaitikMundra Yes, this is EE. I also think this is less specific, but i don't know how to classify combinatorial problems and how to choose problems for my research question. – Lucem L May 08 '24 at 06:18
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    In my experience, a good IB Math EE involves doing math by developing a mathematical result on your own instead of just researching and writing about a math topic. – Karl May 08 '24 at 06:51
  • @LucemL If you do not know, it is a good indication that you should research way more, before even considering a research question. Alternatively, choose an easier topic – Naitik Mundra May 08 '24 at 06:58
  • @Karl, While good advice, just writing about a maths topic is fine as well, as long as you do some of your own analysis, give examples. – Naitik Mundra May 08 '24 at 06:59
  • @NaitikMundra How could I start? Reading books? – Lucem L May 08 '24 at 07:20
  • The text by Wilf that @angryavian suggested is probably the best place to start – Naitik Mundra May 08 '24 at 11:33
  • @NaitikMundra Thank you! – Lucem L May 08 '24 at 11:39
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    The answers to this question should give you plenty of sources: https://math.stackexchange.com/questions/3142386/how-can-i-learn-about-generating-functions/3142387 – awkward May 08 '24 at 13:02

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