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Combinations

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Inquiry-Based Enumerative Combinatorics

Part of the book series: Undergraduate Texts in Mathematics ((UTM))

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Abstract

Binomial coefficients are among the most important whole numbers you will ever know. Most middle-school students have seen Pascal’s triangle, and we will see that this triangle of numbers is one of the most flexible and durable objects in mathematics.

“Mathematics is not a deductive science—that’s a cliche. When you try to prove a theorem, you don’t just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork.”

–Paul Halmos

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Correspondence to T. Kyle Petersen .

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Petersen, T.K. (2019). Combinations. In: Inquiry-Based Enumerative Combinatorics. Undergraduate Texts in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-18308-0_3

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