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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!=5x4x3x2x1=120
The value of 0! is 1, according to the convention for an empty product.
The factorial operation is encountered in many different 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 (i.e., permutations of the set of objects). This fact was known at least as early as the 12th century, to Indian scholars. The notation n! was introduced by Christian Kramp in 1808.
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.
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What does an explanation mark mean after a number in a math problem?
Do you mean an exclaimation mark (!) An exclamination mark means factorial so............. 3! = 3 factorial 3 factorial means 1x2x3 = 6 2! or 2 factorial means 1x2 = 2 4! or 4 factorial means 1x2x3x4 = 24
Why is there exclamation points in some math problems?
The exclamation point is the symbol for the factorial function. For integer values of n, n! = 1*2*3*...*n The factorial is critical for calculating numbers of permutations and combinations.
What does the exclamation point symbolize in a math equation?
The exclamation point in a math equation symbolizes the factorial function. The factorial of an integer > 0 is the product of that integer and all of the integers between 1 and that integer. For instance 7! is 7 * 6 * 5 * 4 * 3 * 2 * 1, or 5040. The special case of 0! is defined as 1.
What is factorial of 998?
factorial of -1
What is factorial of six?
Factorial 6 = 720
