āĻ āύā§āϏāύā§āϧāĻžāύ āĻāϰā§āύ
āĻ āĻāĻŋāϧāĻžāύā§āϰ āĻāĻžāώāĻž āύāĻŋāϰā§āĻŦāĻžāĻāύ āĻāϰā§āύ
āĻāĻĒāύāĻžāϰ āĻāĻžāώāĻž āύāĻŋāϰā§āĻŦāĻžāĻāύ āĻāϰā§āύ
factorial
/fÃĻktËÉËÉšÉĒÉl/
Factorial
01
āĻĢā§āϝāĻžāĻā§āĻāϰāĻŋāϝāĻŧāĻžāϞ, āĻĢā§āϝāĻžāĻā§āĻāϰāĻŋāϝāĻŧāĻžāϞ
the product of all positive whole numbers from 1 to a given number
āĻāĻĻāĻžāĻšāϰāĻŖ
In combinatorics, the factorial is used to determine the number of possible permutations of a set.
āϏāĻŽāĻžāĻŦā§āĻļ āϤāϤā§āϤā§āĻŦā§, āĻāĻāĻāĻŋ āϏā§āĻā§āϰ āϏāĻŽā§āĻāĻžāĻŦā§āϝ āĻŦāĻŋāύā§āϝāĻžāϏā§āϰ āϏāĻāĻā§āϝāĻž āύāĻŋāϰā§āϧāĻžāϰāĻŖ āĻāϰāϤ⧠āĻĢā§āϝāĻžāĻā§āĻā§āϰāĻŋāϝāĻŧāĻžāϞ āĻŦā§āϝāĻŦāĻšāĻžāϰ āĻāϰāĻž āĻšāϝāĻŧāĨ¤
factorial
01
āĻĢā§āϝāĻžāĻā§āĻāϰāĻŋāϝāĻŧāĻžāϞ, āĻā§āĻŖāύā§āϝāĻŧāĻ
multiplying a whole number by all the smaller whole numbers down to 1
āĻāĻĻāĻžāĻšāϰāĻŖ
In probability theory, factorial calculations often appear in permutations and combinations.
āϏāĻŽā§āĻāĻžāĻŦā§āϝāϤāĻž āϤāϤā§āϤā§āĻŦā§, āĻĢā§āϝāĻžāĻā§āĻāϰāĻŋāϝāĻŧāĻžāϞ āĻāĻŖāύāĻž āĻĒā§āϰāĻžāϝāĻŧāĻļāĻ āĻŦāĻŋāύā§āϝāĻžāϏ āĻāĻŦāĻ āϏāĻāĻŽāĻŋāĻļā§āϰāĻŖā§ āĻĻā§āĻāĻž āϝāĻžāϝāĻŧāĨ¤
āύāĻŋāĻāĻāĻŦāϰā§āϤ⧠āĻļāĻŦā§āĻĻ



























