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The factorial is one of the most fundamental mathematical operations in combinatorics, algebra, and number theory. Represented by an exclamation mark (!), the factorial of a non-negative integer n, denoted as n!, is the product of all positive integers less than or equal to n. In mathematics, we often encounter the concept of factorial denoted as n! which represents the product of all integers less, than, or equal to a given non-negative integer n. Factorials find applications in combinatorics, probability, and other mathematical fields. In the R programming language, you have options to calculate factorials using either built-in functions or your own custom code. Here are some key concepts related to factorials 1. Factorial refers to the product of all integers ... The factorial of a positive number n is given by: factorial of n (n!) = 1 " 2 " 3 " 4....n The factorial of a negative number doesn't exist. And, the factorial of 0 is 1. Learn what is the factorial function, how to calculate it for positive and negative integers, and how to use it in algebra and combinatorics. Find the value of factorials, half-factorials, double factorials, and subfactorials with examples and formulas.