Lecture1 Distribution of n identical/distinct Balls into r identical/distinct Boxes, No box is empty

Distribution of n identical/ distinct Balls into r identical/ distinct Boxes so that no box is empty

Case 1: Identical balls and identical boxes (partition method)
Case 2: Identical balls and distinct boxes (Linear Equation method)
Case 3: Distinct balls and identical boxes (Sterling number method)
Case 4: Distinct balls and distinct boxes (Onto functions method)

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[NoName-brcy]

public request: Can mathsmerizing please have dark-mode videos?

[luv.sharma]

I thank you a lot for this video sir. It opened my mind. Loved the real mathematical approach. No teacher was able to tell me the reasons behind the approach to be followed for solving such questions. Thank you for making me understand this sir.

[AmanKumar-mnql]

Awsome explanation Sir, thankyou very much. I was so confused in this topic but after watching your video all my doubts are cleared.

[kriti_tibrewala]

AMAZING ABSOLUTELY INCREDIBLE. I LOVE YOU.

[k]

0:45: Id Balls, Id Boxes
5:51: Id Balls, Dis Boxes
9:33: Dis Balls, Id Boxes
14:17: Dis Balls, Dis Boxes
(v): Id Balls, Dis Boxes (5:51)

[grandson_f_phixis]

Thank you very much sir🥳🥳🥳🥳
Pnc revision started now.
29 july, 2.03 AM.

Sir,
No one has elaborated this topic in such a simplified way that you

[anizagarwal]

u are a gem🔥 the love for mathematics is evident from your selfless contribution

[grandson_f_phixis]

Learnt a lot from this video sir. 🔥
Thank you so much

[yaweli]

So 4th case is also Stirling number of second kind but without division by the number of arrangements of distinct boxes or bins.

[pankajkumar]

God blessing🙏 to proud of great indian 🇮🇳mathematician for nature's 🇮🇳 ..

[pavanashreeng]

Sir I didn't understand the solving mehod of case 3 and 4 apart from formula can you explain.... Sir but overall Awesome explanation.... Thank you

[vimalgarg]

sir can you pls point the starting video for P&C.

[amansharan]

Sir in the case 4 where number of balls are distinct and number of boxes are distinct, in such question can't we use the concept of case 3 * factorial (number of boxes) ?

[shubhamanand]

In last case what if there are few duplicate colour balls, please help me I'm really struggling with it.

[keshavaneja]

is it relevant for JEE Advanced? This includes Sterling number! i am hearing it for the first time

[gauravsingh-krnr]

sir, please make videos on these topics:

Inclusion-Exclusion Principle
Applications of Inclusion
-– Exclusion
Application to Surjective Functions
Application to Probability
Application to Derangements

you are doing a great job sir!

[NathaShiv]

How to make that partition table shown at 5:16? can someone explain it please?

[aniket]

Sir make a full course on partition, Ferrers graph etc