6. Give a combinatorial proof that the identity below for falling factorials holds for all x, y € R. -Σ(*) k [(x + y) (n) = Σ (k)y(n-k)
6. Give a combinatorial proof that the identity below for falling factorials holds for all x, y € R. -Σ(*) k [(x + y) (n) = Σ (k)y(n-k)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 16E
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Thanks but I need a combinatorial proof not a proof by induction
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