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In mathematics, the factorial of a positive integer n, denoted by n!, is the product of all positive integers less than or equal to n. For example,
5
!
=
5
×
4
×
3
×
2
×
1
=
120
.
{\displaystyle 5!=5\times 4\times 3\times 2\times 1=120\,.}
The value of 0! is 1, according to the convention for an empty product.The factorial operation is encountered in many areas of mathematics, notably in combinatorics, algebra, and mathematical analysis...
