Give a combinatorial proof of the following identity: (3) where S(n, k) is a Stirling number of the second kind. S(n,n - 2) = 3 (7), +3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 15E
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Give a combinatorial proof of the following identity:
S(n,n-2) = (3)
where S(n, k) is a Stirling number of the second kind.
+3
n
Transcribed Image Text:Give a combinatorial proof of the following identity: S(n,n-2) = (3) where S(n, k) is a Stirling number of the second kind. +3 n
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