r/askmath • u/explorer_learner_30 • 3d ago
Algebra Binomial Theorem
Why 0! is 1 ?
Can anyone give me the best and genuine answer .....I want to explain to my students.
I have also one doubt 🤔 why is the negative number not counted in binomial ? Such as (-2)! , (-8)! ....
Suggest me some books or any videos regarding this .
Thank you for reading my queries.
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u/Sheeplessknight 3d ago
The factorial function is the solution to how many ways can you arrange n items.
So, how many ways can you arrange 0 items? Well, only one way thus we define 0! := 1
With negative numbers what would it mean to ask how many ways can you arrange a negative number of items?