In mathematics and engineering, the factorial of anon-negativeinteger n, denoted by n!, is the product of allpositive integersless than or equal to n. For example,
5! = 5 * 4 * 3 * 2 * 1 = 120
The factorial operation is encountered in many areasofmathematics, notably in combinatorics, algebra, andmathematicalanalysis. Its most basic occurrence is the fact thatthere are n!ways to arrange n distinct objects into a sequence(i.e.,permutations of the set of objects).
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