Hi Sir, your videos are so good to learn the concepts and It will be so helpful if you provide the solution of 63 and 64 of June 2016, Set A. Thank you!
Thanks for clearance. I had also correct these three options sir but in many famous coaching books, answer keys and vedios have wronged the third option giving the arguement that when set is finite, power set has cardinality finite and when set is countable then Power set has cardinality uncountable. So, I was in doubt
BY convention every finite set is countable. take any finite set you can find a injective map from that set into the natural number so by definition it is countable.
Firstly, It is not always possible that if d divides order of G then it has element of order d. Eg- kliens four Group has no element of order 4 Actually this is depend on group, if it is cyclic then whatever divisor of order G it has element. For non abelian it is different. So plz try to read how to analyse structure of group.
Aapke video kisi movie or series ki trh lgte h soooooooo much interesting and more important with soooooooo much concepts.... Thank you sir 🙏🙏🙏🙏
Thanks.
Rght👍
Fundamentals are superb sir thank u
Sir please aise hi videos banate rahe
Thanks for regular video ... Everyday I wait for it ...
Thank u
day start hua.. apke video lecture s... thanku sir
Oh.. Thank u
I can understand concept from your videos clearly
Thank you sir. Your video is very much helpful for my preparation for csir net . Thank you so much sir.
Welcome
Thanq sir for giving us concept about various topics
Nice explanation sir tq
Hi Sir, your videos are so good to learn the concepts and It will be so helpful if you provide the solution of 63 and 64 of June 2016, Set A.
Thank you!
Very helpful thanku very much
Thanks for clearance. I had also correct these three options sir but in many famous coaching books, answer keys and vedios have wronged the third option giving the arguement that when set is finite, power set has cardinality finite and when set is countable then Power set has cardinality uncountable. So, I was in doubt
Yes sir
Thank you thank you sir so much
Gd explanation
Thank you so much sir
Sir cardinality kyu find ki simple set ka poochha hai plz explain sir
Amazing
Good explanation sir thanks
Very nice explain
Sir N = countable & card(P(N))= c
It means 3rd option should be wrong & baaki overall nice explained by u.
Reena Roy 3 option is true for some countable set A
@@mdsarijulislam8926 but we have contradiction for this , if we take set of natural no.
Its for some A not for all A
Ok thanku
Countable set means finite or countably infinite.
For 3 option, give a example which P(A) is countably infinite.....
No. There is no Set A such that P(A) is countably infinite
Sir options 3 me confusion hai. Kyoki power set ki cardinality ya to finit hoti hai ya uncountable. Sir please explain.
Hello sir ... kya aap CSIR ke pure tutions lete ho ... not just important questions ...par pura basic se ...
Thank you Sir
👍 sir do u give coaching..... Plz reply
Thaxxxxx. Sir
Thanks a lot sir
Thanks sir
Nice #mathophilic
Thank you sir, confusion answer me thi,kyonki 3rd option ko.galat btaya gya tha according to Walter Rudin.
BY convention every finite set is countable. take any finite set you can find a injective map from that set into the natural number so by definition it is countable.
And you can show that there is no set such that power set is countable. I mean you can never find a set whose power set is countable. It is result.
Sir abstract ka ek doubt hai.. suppose d divides order of G then how to check that there is an element of order d.
Firstly, It is not always possible that if d divides order of G then it has element of order d.
Eg- kliens four Group has no element of order 4
Actually this is depend on group, if it is cyclic then whatever divisor of order G it has element.
For non abelian it is different. So plz try to read how to analyse structure of group.
Sir if you take A=phi then P(phi)=phi ,then option A will be correct ? Please give me answer
No. P(phi)=1
It's not phi it's {phi}
Sir thanks for video but sir please make clear video
Now videos are clear
Sir pls explain it in English....I don't know hindi
But I use mix
Question is 'are' hoga sir