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Combinatorial proofs - PowerPoint PPT Presentation


The Friendship Theorem Dr. John S. Caughman Portland State University

The Friendship Theorem Dr. John S. Caughman Portland State University

The Friendship Theorem Dr. John S. Caughman Portland State University. Public Service Announcement. “Freshman’s Dream”. ( a+b ) p = a p +b p …mod p …when a, b are integers …and p is prime. Freshman’s Dream Generalizes!. (a 1 +a 2 +…+a n ) p =a 1 p +a 2 p +…+ a n p …mod p

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1.05k views • 84 slides



Binomial Coefficients, Inclusion-exclusion principle

Binomial Coefficients, Inclusion-exclusion principle

Binomial Coefficients, Inclusion-exclusion principle. A. B. Lecture 13: Oct 31. C. D. Plan. Binomial coefficients, combinatorial proof Inclusion-exclusion principle. Binomial Theorem. We can compute the coefficients c i by counting arguments. e.g.

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1.06k views • 26 slides


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