Show that ifn is a positive integer, then 1 Σ = n aja2•··ak {a1,...,ak}C{1,2,...,n} (Here the sum is over all nonempty subsets of the set of the n smallest positive integers.)
Show that ifn is a positive integer, then 1 Σ = n aja2•··ak {a1,...,ak}C{1,2,...,n} (Here the sum is over all nonempty subsets of the set of the n smallest positive integers.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Show that if n is a positive integer, then
1
Σ
= n
a1a2 ·· ak
{a1,...,ak}C{1,2,...,n}
(Here the sum is over all nonempty subsets of the set of the n smallest positive integers.)
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