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Factorial


 

:This article is not about factorial experiments.

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In mathematics, the factorial of a natural number n is the product of all positive integers less than and equal to n. This is written as n! and pronounced "n factorial". The notation n! was introduced by Christian Kramp in 1808.

Related Topics:
Mathematics - Natural number - Positive - Integer - Christian Kramp - 1808

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Factorial: Definition ►

~ Table of Content ~

►Introduction
►Definition
►Properties
►Applications
►Calculating factorials
►Logarithm of the factorial
►Generalizations
►prod_{k1}^n k^k
►1^1cdot2^2cdot3^3cdots(n-1)^{n-1}cdot n^n.
►prod_{k1}^n k! prod_{k1}^n k^{n-k+1}
►1^ncdot2^{n-1}cdot3^{n-2}cdots(n-1)^2cdot n^1.
►prod_{k1}^n k^{n-k+m-1 choose n-k}

 

 

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