Showing posts with label WHY IS ZERO FACTORIAL EQUALS 1? WHY FACTORIAL OF NEGATIVE NUMBER (-1) DOES NOT DEFINE????. Show all posts

GENERAL FORMULA OF FACTORIAL:-

(N+1)! = (N+1)×N!

PROOF WHY ZERO FACTORIAL = 1

By the formula,(N+1)!=(N+1)×N!

5!=5×4!

4!=4×3!

3!=3×2!

2!=2×1!

1!=1×0!

We know 1! =1 then,

1=1×0!

1/1=0!

THUS ,,,,,,,,,0!=1

FACTORIAL OF NEGATIVE NUMBER (-1) DOESN'T DEFINE WHY?

AGAIN FROM THE FORMULA

(N+1)!=(N+1)×N!

2!=2×1!

1!=1×0!

0!=0×-1! ................... ?????????,

HERE CONTRADICTION IS ARISE!!!!

0!=0×-1!

0!÷0 = -1! ,,,,,

But,,,, 0! ÷0 IS UNDEFINE .......

So FACTORIAL of negative number (-1) DOESN'T exist.....

IF SOMEWHERE IS WRONG

PLEASE NOTIFY ME..........

Put your opinion on comment section now !!!!!!!!

Sanskarimathematics