Counting of functions|total number of one one functions|total number of onto functions|surjection

In this video we have discussed counting of functions. counting number of functions is important. We also discussed total number of functions from a to b. total number of functions counting is very easy. So many exams ask the question on total number of functions between two sets. Most of the time they ask total number of onto functions or total number of onto functions from a to b. so we should know total number of onto functions formula. they can also ask total number of one one functions. total number of one one onto and bijection function we can find easily. So lets start total number of functions from set a to set b.
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[@anmolbhanot5350]

Sir not only your videos help me in understanding the concepts mentioned but also I learn how to think for the Maths related competitive exams. Thankyou so much.

[@prof.lalitkumarpachori8508]

प्रिय शिक्षक, मी आत्ताच तुझ्याबद्दल विचार करत होतो आणि अशा परिस्थितीत आपण व्हिडिओ अपलोड केला. प्रिय शिक्षक, तुम्ही खूप लांब आहात. आम्हाला आपल्या सर्व व्हिडिओंचा चांगला फायदा होतो आणि तो आपल्या सर्वांसाठी फायदेशीर आहे. धन्यवाद प्रिय शिक्षक. 🙏🙏🙏🙏

[@DellaMcClare8888]

You explain it less confusing in another language than my professor does in English! Thank you so much 🙏

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you Outstanding and mind blowing superb teaching and I have no words for your teaching method

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I'm preparing for rpsc 1st grade
...all videos are very helpful
Thank you so much sir....😊

[@Ayush_Shri_Tarachand_jain]

शानदार ..आपका हर video बिना किसी पूर्व ज्ञान के अच्छे से समझ आ जाता है फिर इसके बाद book से और clearity मिलती है ...Thank you sir..👏👏👏

[@RahulMapariBasicMaths]

Thank you for Appreciation

[@Ayush_Shri_Tarachand_jain]

@@RahulMapariBasicMaths Thanks uh... .sir....a lot....👏👏👏

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Litlle bit overexposed, just bring camera one stop down its would look great and good content sir

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[@RahulMapariBasicMaths]

Comming soon.

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Very nice explanation

[@sarvadeosingh3956]

I am jee aspirant... I was having problem in this topic...But u made it very clear...Thanks...

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[@deepikakesar]

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[@ushapurwar8388]

Best vedio on functions. Thanku sir

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Thank u sirji, 🙂🙂🙂

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Mind blowing sir🙏sbhi doubts clear krne k liye thanku so mch🤗

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Nice explanation..

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Thank you sir your explanation was great

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Nice concept

[@gagansoni8185]

Sir you should elaborate how these formulae are made... please consider my suggestion it will be very helpful for us

[@geetuyadav8416]

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THANK YOU SIR, MY DOUBT IS CLEAR .

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[@pragatimishra8307]

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[@dewanshparashar5523]

Thanku sir🙏🙏

[@renu6476]

Sir, what will be the cardinality of one to one maps from N to N?

[@kingusparadise4421]

Thanku sir

[@vivekpillai4912]

Thanks..

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Tnq sir

[@mehagupta004]

Plz upload video on point set topology with questions

[@AjaySingh-qu7mg]

Sir apki notebook ke pdf mil sakti h pls

[@BMXRaghvendraSingh]

Sir, binomial type expression ma - sign kyu araha hai. In onto function

[@Cgarg2306]

Thanku sir
I was really strugling in these question before this lecture

[@fathimahida8878]

Sir , explain how those formula's came..

[@ganitbaba]

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Ratwao na reason ke sath formula bataye

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Sir please make a video on the topic mappings with examples...

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Hello Sir Please make videos on Sylow Theorem and It's Applications

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Sir how to prove these formulas?

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👌👌👌

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Same here😁

[@pritykashyap9025]

Sir plz make a vedio....how to prove function is onto...
With example...
Plz😢

[@dewanshparashar5523]

Bhut easy hai

[@sovankumardas5200]

At 7:08 the infinite sum goes 1 to n in the backet?

[@sumitradabas7336]

Thanks a lot sir
Just jokin. U didn't gave derivations only told the formulas as it is .

[@sumitradabas7336]

Haha u should have read full comment before giving a heart 😂

[@RahulMapariBasicMaths]

Don't worry dear. I am always thankful to each and everyone for appreciation or critisism. Because both will give me motivation. Thanks again.

[@balakumar5687]

Lighting problem sir

[@mitasarkar6066]

If possible explain the whole expression!
That will be better I think..

[@mitasarkar6066]

Explain why in case of onto functions we subtract this and then again add something?

[@nisheethsinghrajput8426]

Because there are some into function also.
Hope you got it.

[@durgeshpandey101]

Thanks A lot sir. Sir, except m=n=2, can ever be total no. of bijections equal to total no. of functions.??

[@RahulMapariBasicMaths]

No.

[@vikrantsingh1871]

This legend has cleared my 2 years old doubt

[@RahulMapariBasicMaths]

Oh. Thanks for appreciating

[@shiwanisingh3660]

Sir real analysis mai phd...sabse acha kis college se hota h..

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Proof of formulas ur smjha dijiye sir

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[@indian8586]

Sir,what will happen when both sets are uncountable??

[@RahulMapariBasicMaths]

Total number of functions are also uncontable

[@indian8586]

Thank u sir

[@adrop7120]

Thank you sir....
A request, please discuss about the
Number of reflexive, symmetric , transitive,and equivalence RELATIONS on a set....

[@showkatahmad3479]

I will send you the formula list for them

[@nisheethsinghrajput8426]

Thank you sir !

[@OpPhilo03]

Sir ye onto ke liye m≥n ke liye derived kaise huaa?!

[@pratikdey6999]

Sir at 7:00 how did we get the formula of surjection ?.. please explain this...

[@RahulMapariBasicMaths]

Its background is permutation and combination, u can try for small cardinality and verify it

[@pratikdey6999]

@@RahulMapariBasicMaths ok Sir I will try😊

[@ytonly3167]

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Sir apki offline classes kha hoti h????

[@prof.lalitkumarpachori8508]

Amravati district Maharashtra me sir mpsc+ Csir ugc net-jrf ka exam qualified h