Number of onto functions formula proof: Summation mCr(-1)^r(m-r)^n with example n=4 & m=2

Number of onto functions formula proof: Summation mCr(-1)^r(m-r)^n with example on how to use the formula for n=4 & m=2

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[Mathsmerizing]

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[lakhbirsingh]

Pure Gold Sir... I did my b tech from NIT ( 90-94). I shared this with my daughter ... Waheguru bless you sir

[srisidhu]

As a maths faculty I can say your teaching amazing and unique ...

[saicharith]

Sir iam one of your students from saraswathi bhavan
You are our favourite

[kkdwivedimathsclasses]

Crystal Clear concept given by you...thank you very much sir...

[anuragkumar]

sir was the particular topic i was searching for so long ....thank you sir for this awesome

[arkabanerjee]

Sir your explanation was amazing. Thank you so much

[javedakhtar]

thank you so much for explaining number of function counting in an easy way😊😊😊😊😊

[dhruvxx]

I finally understand this, I couldn't thank you enough sir, your explanation was awesome

[iamdeep]

thank you so much sir, you have amazing skills to teach

[aniket]

Thank you sir....I really appreciate your work

[janibashashaik]

Good explanation sir.
I am also a maths faculty.

[EnglishEdgeWithManu]

kya expalin karte hain sir you are great thank you so much sir:)

[TheWildStatistician]

Dear sir,

This was a fantastic video! But I did spot a few minor mistakes, please correct me if I'm wrong,

The formula for the general inclusion-exclusion principle stated at 3:40 is not correct according to my understanding.. Also isn't it the case that we cannot consider | B1 U B2 U B3 U ... U Bm | rather we must consider | B1 U B2 U U Bm-1 | since if m elements of the codomain don't have a preimage, then f is not a function, let alone being surjective.

Thank you sir.

[Jasobanta]

Sir I think the light which you use that is infront of camera .plz place the light back of the camera.

[vipinsaini]

n(B1 U B2 U Was explained in wrong manner ....B1 is a different set...B1={exactly one element is missing} B2={exactly 2 elements are missing} and so on....Not like Sir has explained like B1 = { b1 element is missing} and B2= { b2 element is missing }

[anuragdev]

Sir I have understood everything but unable to understand that why alternate signs i.e+ and - come in the formula of number into functions why cannot we take all of them as + sign and simply add them as we are considering all the possibilities?

[sibakumardas]

Pls keep your voice in louder which will be listened by the listeners without speaker and more appropriate to

[syedmdabid]

Q* Is ( vector u ÷ vector v) defined? If yes, then = ?

[KhanAtheist]

dear sir, I can't understand the general formula to find no of into function and why do the
+, - signs come alternate in case to find no of into funtion ?
please explain it with concept