Factorial Zero 0!

HELLO FRIENDS!!!!

TODAY WE ARE TRYING TO GET THE VALUE OF FACTORIAL 0. 

O (ZERO) IS THE MOST CRITICAL NUMBER OF THE WORLD.

LETS START....

WE KNOW FACTORIAL n ( n! ) = n x (n-1) x (n-2) x (n-3) x .......x (n-(n-1))

n! =  n x (n-1) x (n-2) x (n-3) x .......x 1  --------------(a)

(n-1)!= (n-1) x (n-2) x (n-3) x .......x 1        ---------------(b)

as same- 5!= 5 x 4 x 3 x 2 x 1= 120

6!= 6 x 5 x 4 x 3 x 2 x 1= 720

4!= 4 x 3 x 2 x 1= 24

here we can get an equation by divide equation (a) and (b) that,

n! / (n-1)! = n

n! / n = (n-1)!

so, in the position of n put 1, we get,

1! / 1 = (1-1)!

(1-1)!= 1! / 1

or, 0!= 1/1      [ as 1!= 1]

or,  0!= 1

Wao, here we get the mathematical value of factorial zero is equals to one. wish you enjoy this.

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