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factorials
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Definitions of factorials in various dictionaries:
noun - the product of all the integers up to and including a given integer
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Plural form of factorial. |
the product of an integer and all the integers below it e.g. factorial four ( i4i ) is equal to 24. |
The product of an integer and all the integers below it e.g. factorial four (4) is equal to 24. |
Relating to a factor or factorial. |
Factorials might refer to |
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In mathematics, the Factorial of a non-negative 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. Its most basic occurrence is the fact that there are n! ways to arrange n distinct objects into a sequence. These arrangements are called the permutations of the set of objects. * The definition of the factorial function can also be extended to non-integer arguments, while retaining its most important properties; this involves more advanced mathematics, notably techniques from mathematical analysis. |