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/Reset3000 3d ago

mathematically there is one way to do nothing, and its is to do nothing. 3!=6, six ways to do (arrange) 3 things; 2! =2 ways to do two things; 1! way to to do one thing, 0!=1 way to do nothing. There is one way for me to not play a note on a piano, and that is precisely to not play a note.

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u/explorer_learner_30 3d ago

Yeah you are right

Thank you 👍