What is the reason behind the 0 factorial is equal 1 (0!=1) ?

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While studying factorials, do you ever think of why the 0!=1, you will think that it need to be 0 only, but you are wrong,

Here's why,

First, for those who don't the factorials, suppose you have taken number 5 then the 5!=5*4*3*2*1=120, means for the answer you need to take all the numbers before the number you have taken, except 0. So easy.

But then you might think 0!=0 only, because multiplying 0 with any number is 0 only, but the 0!=1,then the question is why?

Because if we divide the value of the factorials with its factorial, then we will get the value of previous factorial.

Image credit: myself 

Means,

5!=120/5=24 which is the value of factorial 4
4!=24/4=6 which is the value of factorial 3
3!=6/3=2 which is the value of factorial 2
2!=2/2=1 which is the value of factorial 1
Therefore,
1!=1/1=1 which is the value of factorial 0.

Before 1 it it comes 0. Thus, according to the above calculations it is clear that 0!=1.

Now you know why the 0!=1, then share it with your friends and let them also know this.


Comment your questions which you want to be answered.






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