Why is 0! equal to 1?

2017-05-07 10:24 pm

回答 (7)

2017-05-07 10:28 pm
✔ 最佳答案
How many ways can you arrange the elements in an empty set?
2017-05-07 10:26 pm
convenience
2017-05-07 10:58 pm
A factorial can be defined by the following formula :
n! = n × (n-1)!

Put n = 1 :
1! = 1 × 0!
1 = 1 × 0!

Then :
0! = 1
2017-05-07 10:38 pm
 
4!/4 = 3!
3!/3 = 2!
2!/2 = 1!
1!/1 = 0!
2017-05-07 11:34 pm
By the very fact that zzero '0' is a term number it is given a value of '1'
2017-05-08 12:00 pm
0! = 1


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