) Verify that 5² - ( ) (1) 5(7,5). where S(m, n) is the Stirling number of the second kind.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 3E
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a please
(a) Verify that
- Σ(5)
(i!)S(7, i).
where S(m, n) is the Stirling number of the second kind.
(b) Provide a combinatorial argument to prove that for all positive integers m, n
-(") (1)S(ni).
Transcribed Image Text:(a) Verify that - Σ(5) (i!)S(7, i). where S(m, n) is the Stirling number of the second kind. (b) Provide a combinatorial argument to prove that for all positive integers m, n -(") (1)S(ni).
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