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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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Q: What is factorial in math?
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Related questions

What is the value of 0 factorial?

Zero factorial, written as 0!, equals 1. This is a simple math equation.


How can you figure out combinations in math?

If you have N things and want to find the number of combinations of R things at a time then the formula is [(Factorial N)] / [(Factorial R) x (Factorial {N-R})]


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


How do you import math functions in python?

At the top of your program: import math or from math import * The second one imports all math functions, like fact() for factorial.


Is there a factorial button on a TI-83 Plus?

Yes. To access it, press [Math], scroll over to PRB [>] [>] [>] [>], and select option [4].


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.


How is the math term factorial used?

A factorial of a whole number is that number multiplied by all smaller whole numbers down to one. So 7 factorial (written 7!) means 7 x 6 x 5 x 4 x 3 x 2 x 1


Exclamation point in a math equation?

The exclamation point is called a factorial. ex. 5!=5x4x3x2x1 10!=10x9x8x7x6x5x4x3x2x1 etc.


Code for factorial numbers in python?

Here is my code: import math num = int(input()) print(math.factorial(num)) I used a bit of a cheat and imported the math module though.


Has anyone ever figured out 16 factorial without a calculator?

Probably, but I found out the answer. It may be in a math test so i can not say the answer. But it is in the trillions.


Where is the factorial symbol on the ti 84?

Two ways: 1) 2nd -> 0/Catalog -> 3 -> Enter 2) MATH -> ◄ -> 4


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.