Math Problem Statement
summation of r goes from 0 to n, (-1)^r nCr r^n
Solution
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Math Problem Analysis
Mathematical Concepts
Combinatorics
Binomial Theorem
Alternating Series
Summation
Formulas
S(n) = ∑(r=0 to n) (-1)^r * binom(n,r) * r^n
(1 - x)^n = ∑(r=0 to n) (-1)^r * binom(n,r) * x^r
Theorems
Binomial Theorem
Alternating Binomial Sums
Suitable Grade Level
Undergraduate
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