Zero Factorial

[nycmathguy]

Why is zero factorial 1?

In other words, 0! = 1. Why?

 

[MathLover1]

0! =1 because there is only a single possible arrangement of this data set (n=1)

For the equation to be true, we must force the value of zero factorial to equal 1, and no other. Otherwise, 1!≠1 which is a contradiction.

So yes, 0! = 1 is correct because mathematicians agreed to define it that way (nothing more and nothing less) in order to be consistent with the rest of mathematics.

 

[nycmathguy]

0! =1 because there is only a single possible arrangement of this data set (n=1)

For the equation to be true, we must force the value of zero factorial to equal 1, and no other. Otherwise, 1!≠1 which is a contradiction.

So yes, 0! = 1 is correct because mathematicians agreed to define it that way (nothing more and nothing less) in order to be consistent with the rest of mathematics.

Cool math notes.

Can you check two unanswered threads?

1. Horsepower Function
2. Describing Transformations

Thanks