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how come 0! =1?
Dear Debjit,
Usually n factorial is defined in the following way:
But this definition does not give a value for 0 factorial, so a natural question is: what is the value here of 0! ?
A first way to see that 0! = 1 is by working backward. We know that:
1! = 1 2! = 1!*2 2! = 2 3! = 2!*3 3! = 6 4! = 3!*4 4! = 24
We can turn this around:
4! = 24 3! = 4!/4 3! = 6 2! = 3!/3 2! = 2 1! = 2!/2 1! = 1 0! = 1!/1 0! = 1
Good Luck!!!!!!!!!!
Plz. approve by clicki ng 'Yes' given below!!!!!!!!!! Plz. Plz. plz.!!!!!!!!!!!!!
0! = 1!/1 = 1
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Siddharth
Dear DEBJIT DUTTA
WE CAN PROVE IT MATHEMATICALLY BY THE DEFINITION OF FACTORIAL
WE KNOW THAT
(N-1)! = N!/N
AND NOW PUTTING N = 1 HERE WE GET
0! = 1!/1
AND WE KNOW
1! = 1 SO
0! = 1
JITENDER
ASKIITIANS
using n!=n*(n-1)!
putting n=1, we get 0!=1
plz approve if u like
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