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I am studying combinatorics in my class right now and am using Combinatorics by Van Lint and Wilson. I was wondering if any of you guys had any recommendation on a supplementary book for topics like generating functions, enumerative combinatorics in general and extremal combinatorics? I am looking especially for a book with a lot of exercises so that I can practice solving problems.

Thanks!

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    $\begingroup$ For enumerative combinatorics you could do a lot worse than Miklós Bóna, A Walk Through Combinatorics; it’s considerably more elementary than Van Lint & Wilson, but it has lots of exercises, many with full solutions. For something more at the level of Van Lint & Wilson there’s Richard Stanley’s Enumerative Combinatorics (two vols.), but its’ a bit much for a supplementary text. The second edition of Herbert S. Wilf’s generatingfunctionology is freely available as a PDF here; it’s a superb introduction to generating functions and has lots of problems and solutions. $\endgroup$ – Brian M. Scott Apr 6 '16 at 3:35
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    $\begingroup$ Peter Cameron's Combinatorics: Topics, Techniques, Algorithms is also a good choice. $\endgroup$ – Jair Taylor Apr 6 '16 at 3:44
  • $\begingroup$ Thaks for the book suggestions guys! $\endgroup$ – urpi Apr 8 '16 at 6:34
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Van Lint and Wilson is really great, but you may also like Enumerative Combinatorics Volumes I and II by Richard Stanley. Generatingfunctionology by Wilf is second to none for generating functions specifically.

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