Zero factorial is equal to what number?

Hint 1: It doesn’t equal an indeterminate number.

Hint 2: 5! = $\frac{6!}{6}$ = 120

Note: 5! = 5 x 4 x 3 x 2 x 1

Indeterminate
0
1
Infinity

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proof:

$1!=1 \times 1=1$

$2!=1 \times2=2$

$3!=1 \times 2 \times 3=6$

$4!= 1\times 2 \times 3 \times 4=24$

so, we can say that, $n!=1 \times 2 \times 3 \times (n-2) \times (n-1) \times n$

and so, logically we can say that , $n!=n(n-1)!$ ..............[1]

now, putting $(n=1)$ in equation [1] ,we get ,

$1!=1 \times 0!$

or, $1=0!$ .....................d.