I am a high school student and I have taken all the math classes that my school provides (through calculus AB). I have been looking at a possible independent study for next year and I have landed on combinatorics and possibly graph theory as well. I plan on using MIT Open courseware's "Combinatorics: The Fine Art of Counting" videos and supplementing them with a textbook.
Does anyone have any suggestions for a textbook where the only prerequisite would be AP Calculus AB and would be easily comprehended by a high school student? Ideally the book would delve into graph theory as well (I understand these two subjects go hand-in-hand). I would also like the book to provide solutions (or at least some solutions) to the problems to make sure i am on the right track. Also, does anyone have an opinion on the following books?:
[A Walk Through Combinatorics: An Introduction to Enumeration and Graph Theory]
[Combinatorics and Graph Theory (Undergraduate Texts in Mathematics)]
[Principles and Techniques in Combinatorics]
[How to Count: An Introduction to Combinatorics]
[Combinatorics: A Guided Tour (MAA Textbooks)]
*[Introduction to Counting & Probability by David Patrick]
*[Intermediate Counting & Probability by David Patrick]
*Books from Art of Problem Solving (for middle school/high school students)..I'm worried they might be too elementary.
Any help would be greatly appreciated, as I am truly lost as to where to start.