0 ! = 1 why ? Prove

0 ! = 1 why ?

इसे जनने के लिए हम कुछ समझने का प्रयास करते हैं

5 ! = means 5 × 4 × 3 × 2 × 1 = 120. 
120 ÷ 5 = 24 which is the sum of next 4 !

4 ! = means 4 × 3 × 2 × 1 = 24. 
24 ÷ 4 = 6 which is the sum of next 3 !

3 ! = means  3 × 2 × 1 = 6. 
6 ÷ 3 = 2 which is the sum of next 2 !

2 ! =  means 2 × 1 = 2
2 ÷ 2 = 1 which is the sum of next 1 !

1 ! =  means 1 × 1 = 1. 
1 ÷ 1 = 1 which is the sum of next 0 !

So that 
0 ! =  1 

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