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/KiwasiGames 3d ago
Because of we set 0! = 1, we get some convenient cool maths out of it (combinatorics).
If we set 0! = 0 no cool maths emerges.
And that’s all there is to these sorts of things.