I am back to my blog guys!!!! Let's start with Why the factorial of 0(0!) is 1?
Explanation : If you did mathematics related to factorials then you saw that 0! = 1 and without any question took it for granted because your teacher may be told you that it's just a formula,probably they did not tell you what's the logic behind it. But the truth is there’s a logic behind it and that is hidden inside the rules of the factorial itself.Let's explore it. The formula of factorial of n is - n! = 1*2*3*.......*(n-3)*(n-2)*(n-1)*n where n>0 ……………...(i) Now let's take some examples - 8! = 8*7*6*5*4*3*2*1 7! = 7*6*5*4*3*2*1 = 8!/8 6! = 6*5*4*3*2*1 = 7!/7 ………… so on. I think you started to notice a predictable pattern and we can define the pattern mathematically - n! = (n+1)! / (n+1) where n ≥0 ……………...(ii) Now use the above formula from (ii) which we got by observing the pattern to calculate 0! - 0! = (0+1)!/(0+1) = 1!/1 = 1 It's not magic,it's a logic,Waoooo!!!!!! Remember without the (ii) you ca
