Question

☺️. HEYA. ☺️


Prove> 0!=1

Answer 1

Answer:

0!=1

Step-by-step explanation:

I think it is the contradiction...

bcz if we consider n be a whole number, where n! is defined as the product of factors

so as we know that;

The general formula of factorial can be written in fully expanded form as

n! = n·(n-1)·(n-2)·...·3·2·1

so we can writ n as;

n! = n · (n-1)!

As absolute certainty is 1!=1,

where n = 1

If we substitute that value of n into the second formula which is the partially expanded form of n!, we obtain the following:

n!=n (n-1)!

1!=1 (1-1)!

1!=1 (0)!

here 0! must be 1 in order to prove equation....

so

1!=1 by putting 0!=1