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The binomial coefficients are the integers Prove the recursion k(n) k! n! n! (kn)! k (k+ (* + 1) = (₁ + ₁) + (^) Using factorial polynomials and applying Problem 4.2, k(n+1) Ak(n+1) (*+1)-(₂^₂) = (₂₁ + ₁₂ ) = (x + 1)(~ + 1)² (n + 1)! (n+1)! (n+1)! (n + 1)! n! which transposes at once into what was to be proved. This famous result has already been used. = (n+1)k(n) k(n) = - (*) =

The binomial coefficients are the integers Prove the recursion k(n) k! n! n! (kn)! k (k+ (* + 1) = (₁ + ₁) + (^) Using factorial polynomials and applying Problem 4.2, k(n+1) Ak(n+1) (*+1)-(₂^₂) = (₂₁ + ₁₂ ) = (x + 1)(~ + 1)² (n + 1)! (n+1)! (n+1)! (n + 1)! n! which transposes at once into what was to be proved. This famous result has already been used. = (n+1)k(n) k(n) = - (*) =

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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The binomial coefficients are the integers (*)= Prove the recursion k (n) n! k (*+1)-(₁₁) - = k! n! (k − n)! k (* + ¹) = (₂+₁) + (^) 1) n+1 Using factorial polynomials and applying Problem 4.2, (k+ 1)(n+¹) (n + 1)! (n+1)k(n) k(n) (n + 1)! n! n which transposes at once into what was to be proved. This famous result has already been used. k(n+1) Ak(n+1) (n+1)! (n+1)! = = =
Transcribed Image Text:The binomial coefficients are the integers (*)= Prove the recursion k (n) n! k (*+1)-(₁₁) - = k! n! (k − n)! k (* + ¹) = (₂+₁) + (^) 1) n+1 Using factorial polynomials and applying Problem 4.2, (k+ 1)(n+¹) (n + 1)! (n+1)k(n) k(n) (n + 1)! n! n which transposes at once into what was to be proved. This famous result has already been used. k(n+1) Ak(n+1) (n+1)! (n+1)! = = =
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