Answered: 6. Give a combinatorial proof that the…

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)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 29EQ

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Question

6. Give a combinatorial proof that the identity below for falling factorials holds for all x, y € R.
-Σ(*)
k
((x+y)(n) =
(k)(n-k)

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