factorial
fac
fæk
fāk
to
ˈto:
to
rial
rɪəl
riēl
British pronunciation
/fæktˈɔːɹɪəl/

Definition & Meaning of "factorial"in English

Factorial
01

the product of all positive whole numbers from 1 to a given number

example
Examples
The factorial of 5 is calculated as 5!=5×4×3×2×1=120.
In combinatorics, the factorial is used to determine the number of possible permutations of a set.
factorial
01

multiplying a whole number by all the smaller whole numbers down to 1

example
Examples
The factorial function is denoted by an exclamation mark (! ) and is used in combinatorial mathematics.
In probability theory, factorial calculations often appear in permutations and combinations.
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