You really did postmortum of pigeonhole principle.till now noone taught this in such depth ,huge respect and love for sir❤❤
@pratikkumar6148 Жыл бұрын
@ 38:25 More formal proof can be given as follows LHS = ceil( n/m ) RHS = floor( (n-1)/m) + 1 ) clearly n>m let n = mk + r , for some quotient k and remainder r LHS = ceil( (mk+r)/m ) = ceil( k + r/m ) = k+1 RHS = floor( (mk+r-1)/m ) + 1 = floor( k + r/m - 1/m ) + 1 = k+1
@pratikpawar053 жыл бұрын
Sir, this video is perfect example of, the major reason I connected with your teaching was your emphasis on proofs and not mugging / rot learning approach. You always prove every formula/statement with a proof and don't just let us just remember anything but emphasis on understanding it and that too keeping balance of mathematics and intuitive proof. Sir you really know how to keep every student engaging💯💯....Hats off🙏🙏
@rajatagrwl93283 жыл бұрын
Hats off sir for your efforts even when your health is not well... No words to describe feeling 🙏🙏❤️❤️❤️
@AmitKhuranaSir3 жыл бұрын
Hi rajat.... I am almost fine now..... I was not having enough energy to make video but I am touched with deep love and care of my students..... I really don't know from where I got energy and suddenly started making video... It's result of your prayers.....
@Alia-hn1vv2 жыл бұрын
Thank you so much sir I'm from Pakistan...Tomorrow is my presentation at university. I have seen this topic from many channels. I have read many notices and books but the points have not been cleared but this video of yours has cleared everything....... your method of teaching is so good thank you so much
@Alia-hn1vv2 жыл бұрын
@@simranchaudhari7926 😇
@itsoknottobeok9381 Жыл бұрын
To contradict it, we should also take contradictory of n < m i.e. n > m?
@coolstuffs-ux2ud Жыл бұрын
Doctors : we have the best handwriting SIR : Hold my marker
@yashwadhwani12343 жыл бұрын
Great work. Thanks a lot sir.
@Akashkumar-md6rg4 ай бұрын
best teacher for gate cse!
@ashutoshtripathy3015 Жыл бұрын
Timestamp 18:05 point 1 will be "PHP doesn't put restrictions that every hole must have atmost one pigeon". I think "atleast one pigeon" is not correct. Thank you sir🙏
@mb5962123 күн бұрын
No
@AbhimanyuKumar-ke3qd4 ай бұрын
9:39 lekin agar saare pigeons ek hi hole mei baith jaye toh? 2 pigeons in exactly one hole toh nhi hoga...... Toh Kya iska Matlab php mai ek implicit assumption hai ki pehle ek ek karke pigeons fill krne hai...for jab sab holes mai ek ek pigeon ho Jaye...tab ek ek karke firse fill krne hai???? Edit: 10:53 above statement is wrong, there is no implicit assumption
@neelkapatel4410 Жыл бұрын
Sir at 27:00 complement of "at least 1 p.h." ...."less than 1 p.h" nahi hona chahiye??? as atleast 1 p.h will have at least 2 pigeons means >= ka complement < "less than" nahi hona chahiye?? i can't get it how complement is everyone and atmost ??? sir i've also search in logic notes of your videos..... please explain sir
@namansingh50672 жыл бұрын
Pigeon hole from 6:43
@pawanchoure12892 жыл бұрын
nice sir......... loved it
@SanjaySingh-jg8ne3 жыл бұрын
thank you sir
@amankumarsingh4883 жыл бұрын
Sir, In the advanced Pigeonhole principle it is an implicit assumption that each hole has at least 1 pigeon which was not in the case of the basic pigeonhole principle, right?
@AmitKhuranaSir3 жыл бұрын
No.... Please watch my video carefully you will get your answer.....
@amankumarsingh4883 жыл бұрын
@@AmitKhuranaSir Okay sir, "for 1 pigeonhole atleast ceil(n/m) objects, it can be greater than that as well."
@rajrai42944 ай бұрын
Awesome🎉
@mohdzaheenafzal51032 жыл бұрын
atleast one pigeon hole will have atleast ceil[((n-1)/m)+1] pigeon, sir is statement ka complement samajh nhi aaya iska compliment "No pigeon hole will have atmost ceil[(n-1)/m] pigeons .ye hona chahiye na?? PLEASE CLARIFY SIR
@ashakumari71062 жыл бұрын
Jai mata दी
@pradiptabiswas_084310 ай бұрын
Sir if I take 18... Then from your formula... We can also get 4... So then 18 will be the answer... Not 21... Clarify please
@guy.with.moustache4 ай бұрын
Timestamp please
@kulwinderkaur4626 Жыл бұрын
Next vedio on pigeon hole
@Lack_Of_Enemies2 ай бұрын
thnks a lot
@abhishekchoudhury33282 жыл бұрын
thank you sir !
@mrutyunjayapradhan3599 Жыл бұрын
👏👏👏👏👏nice 👍🏻
@educationandentertainment26162 жыл бұрын
Hello sir mujhe apke purane lecture nahi mil rha Matlab category 1 se 8 can you please share in the description
@AmitKhuranaSir2 жыл бұрын
Hi in my channel see the combinatorics playlist... You will get all the lectures.....
@rockybalboa6969 Жыл бұрын
28:54 n=m because equal no. Of pigeon occupied equal no. Holes