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I am a high school student who will go to a university this year.I want a Combinatorics book that'll actually clear my basic principles of Permutations and Combination (and would also give me insights of proof).The book also must have a good problem set related to these principles. Basically, I want a book which will "COMPLETELY" clear all my basic principles of combinatorics. I thought of Stanley's Enumerative Combinatorics book

joriki
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P. Patil
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  • Stanley's book, although excellent, is specialised. By this I mean you would need some guidance to see the 'real world' applications of the concepts in that book. If you are a starting undergrad, I recommend the book 'Counting: The Art of Enumerative Combinatorics' by George E. Martin. It has a lot of problems and solutions at the back. – shubhankar Apr 27 '20 at 08:21
  • Does this answer your question? Combinatorics for Complete Beginner –  Jul 18 '21 at 20:31

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I know this text says "for Computer Science", but the explanations are detailed, thorough, and insightful. See https://courses.csail.mit.edu/6.042/spring17/mcs.pdf

EDIT: For a more detailed treatment of permutations and combinations, see "Introductory Combinatorics" by Brauldi (you can find PDFs via Google).

For derangements, see Chapter 5 of "Enumerative Combinatorics" by Charalambos Charalambides (again, you can find PDFs on Google). I really like his treatment of the topic, as it is much more accessible than Stanley's.

wormram
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  • I actually need a book about permutation and combination which have the topics ( e.g. Inclusion-Exclusion ; Pigeon-Hole ; Derangement; Multinomial theorem and its good examples to solve) – P. Patil Apr 27 '20 at 08:04
  • The one I provided has many examples and explanations of inclusion-exclusion and pigeonhole, but I can link you another reference that adds more detail on derangement and multinomial shortly. – wormram Apr 27 '20 at 08:07
  • Link it please. – P. Patil Apr 27 '20 at 08:09
  • Please see the edit. – wormram Apr 27 '20 at 08:14