Simply mindblowing.... earlier division and distribution seemed to be the most difficult topic in combinatorics. But after watching this video it seems as if this is the most easiest topic. Thanks a lot sir. Your videos and your books has changed my way of perception of maths. Thanks a lot
Another way of solving question given at around 15:20 minute: How to distribute n different toffees to n children such that one child doesn't get any toffee but rest all get at least 1. First distribute n toffees to n children (each child gets one) = n! ways Now, select two children in "n C 2" ways and ask one child to give his toffee to other. So that one has zero and other has 2. So total is n! X "n C 2". Now at this point, you should ask the question that since I can ask child1 to give toffee to child2 or vice versa, why we are not multiplying by 2? Think for a minute and then read on: There will be a permutation where Child1 get toffee t1 and Child2 get a toffee t2. Here there are two ways to give both t1 and t2 to one child and other child having none. But there will be another permutation where Child1 get toffee t2 and Child2 gets toffee t1 everything else remaining the same. And here also there are two ways to give both t1 and t2 to one child and other child having none. So to avoid repetition, there is no need to multiply by 2.
सर् मेरे पास शब्द नही हैं कहने को, मैं भी सर् अध्यापक हूं मैं सर् आपके वीडियो देखने के बाद लोगो को समझता हूं, आप मेरे लिए वरदान हैं सर्, आप इतनी कठिन चीजों को इतनी politely एक्सप्लेन करते है , मैं सर् आपकी cengage भी पड़ता हूं
Tushar Goyal is one person who is common in every youtube education based channel from etoos to g tewani to...... I mean tushar do u sit all through out the day and take classes after classes?
Sir you have Amazing way of teaching Thankyou sir for making this topic soo easy for me Actually I'm preparing for CAT and I have a major problem in this topic only ! But this topic is not a problem for me anymore, all because of you Thankyou SIR !
@@gtimeducation sir, can I get your all lectures, I am preparing for Jee 2022, and my financial condition is very very week😔😔😔, I can't buy, please help me
Sir u are the best sir of maths i have ever come across. You are great and highly talented. And you teach so well that the concepts which that i was unable to understand since 2 years, you made me understand in a few minutes.
Sir Why cant I apply the Division formula of equal sizes in the following Question? Once inside the theme park, the children go on the roller-coaster. Each roller-coaster car holds 3 people. In how many different ways can the 8 children be divided into two groups of 3 and one group of 2 to go on the roller-coaster? Ans: 560 if I apply the formula of Equal sizes the ans becomes 280. In which logic I can't divide by 2! ?
Sir where were you when we were preparing for jee.You are a great teacher sir.I am totally in love with the way of your teaching .Thank you sir.Thanks a lot
Think of division as filling the bags. For example, if you want to divide n things into 3 groups, it is like you have 3 bags and you are just filling them. Now, if you have 3 bags and you want to distribute to three persons, in how many ways can you perform that? It would be number of ways of filling bags times 3 factorial(just like you fill the places of a 3 digit number).
Sir, i feel that the AIEEE that you had explained, had one some extra cases- The question was on ordered pairs of (Y,Z) which are disjoint sets in X= {1,2,3,4,5}. You mentioned the answer as 3^5= 243 But, some cases when [X - (Y+Z)] set (set excluding Y, Z sets but still being a part of X) has different values but still (Y, Z) has same values are actually included in 243- will NOT form a part of the answer as we ought to report the ordered pairs of (Y, Z) ONLY. I would love to hear your insights on this query.
sir sahi kaha woh 100^10 aur 10^100 wale type mai confusion thi but ur r here on youtube so how can a student's confusion can remain a confusion...it just turns into solution..
aniket No you cannot use it directly. As given As. All. X y z. > 2 So 8-1-1-1=5 Now the question got reduced to have H+K+L=5. Where h k L >0 So now. Use. n-1Cr-1 ....where 5identical objects need to be distributed among 3 people so that each gets at least one.
Yes, 1,2,3,4,5 should be a either in Y or Z they cannot be out of it as per question so 3^5 is confusing, and Y intersection Z is zero, so we cannot have (1,1),(2,2) etc.1 can go to either Y or Z not to out of it even if in X. If 1 goes to X then cannot be in Y. (1,2)(1,3)(1,4)(1,5)(2,1)(2,3)(2,4)(2,5) etc 20 options , is it correct !!!. 30.40 odd
Sir in the first AIEEE question you explained in the video, doesn't partitioning just mean dividing. Which means we shouldn't multiply with 3!, in other words, why did you distribute it among the 3 groups?
Just God level explanation. Nothing can beat G.Tewani sir and his books
Matlab kuch bhi?!
@@MuslimsAreTheWorstFollowersyeah
Best lecture in my life. Kasam se maza aa gaya
Simply mindblowing.... earlier division and distribution seemed to be the most difficult topic in combinatorics. But after watching this video it seems as if this is the most easiest topic. Thanks a lot sir. Your videos and your books has changed my way of perception of maths. Thanks a lot
Passed JEE phase years ago still I'm watching this because his way of teaching is so cool
What percentile in mains?
@@phytophile 97.14
Your work is perfection.
You are a great teacher sir. I am srinivas
Faculty in ACE Engineering Academy in Computer Science Department.
Another way of solving question given at around 15:20 minute: How to distribute n different toffees to n children such that one child doesn't get any toffee but rest all get at least 1.
First distribute n toffees to n children (each child gets one) = n! ways
Now, select two children in "n C 2" ways and ask one child to give his toffee to other. So that one has zero and other has 2. So total is n! X "n C 2". Now at this point, you should ask the question that since I can ask child1 to give toffee to child2 or vice versa, why we are not multiplying by 2? Think for a minute and then read on:
There will be a permutation where Child1 get toffee t1 and Child2 get a toffee t2. Here there are two ways to give both t1 and t2 to one child and other child having none. But there will be another permutation where Child1 get toffee t2 and Child2 gets toffee t1 everything else remaining the same. And here also there are two ways to give both t1 and t2 to one child and other child having none. So to avoid repetition, there is no need to multiply by 2.
The best video l have ever seen on this topic. Thank u very much sir.
सर् मेरे पास शब्द नही हैं कहने को, मैं भी सर् अध्यापक हूं मैं सर् आपके वीडियो देखने के बाद लोगो को समझता हूं, आप मेरे लिए वरदान हैं सर्, आप इतनी कठिन चीजों को इतनी politely एक्सप्लेन करते है , मैं सर् आपकी cengage भी पड़ता हूं
You r very awesome thank u
Tushar Goyal is one person who is common in every youtube education based channel from etoos to g tewani to...... I mean tushar do u sit all through out the day and take classes after classes?
Not experience but excellence teacher ,
@@UCSAdityaKumarChoudhury bro m in IIT now xD
@@tushargoyaliit what was your rank in iitjee?
Kabhi Kota jao
wow sir, I wish at the time of jee 6 years back, I wish I was your student.
thanks
Sir you have Amazing way of teaching
Thankyou sir for making this topic soo easy for me
Actually I'm preparing for CAT and I have a major problem in this topic only !
But this topic is not a problem for me anymore, all because of you
Thankyou SIR !
Vector 3D
3D and solutions of 3 equations in 3 variable
Cramer rule
Idk why but even I am tired but not feeling sleepy while watching this lecture ??
Sir, I am addicted to your videos and your teaching style. Thank you so much.
🙏🙏🙏
@@gtimeducation sir, can I get your all lectures, I am preparing for Jee 2022, and my financial condition is very very week😔😔😔, I can't buy, please help me
@@gtimeducation please sir will be a great help
@@futureengineer4448 😂Abe itne costly bhi nhi hai
Best Video Lecture series in entire TH-cam.
@Rohith M R Yehi Aadmi Cengage Ka Writer Hai, To Apni Book Ka Hi Padhaega.
Lajawab explaination sir
I want a teacher like u who satisfies jee students
Sir u are the best sir of maths i have ever come across.
You are great and highly talented. And you teach so well that the concepts which that i was unable to understand since 2 years, you made me understand in a few minutes.
Thnku sir for clearing my concepts of division and distribution
Which Confusion?
We are so lucky to have you in India sir.
You are highly talented person and the true master
30:39 isn’t that include a case where either one or both of Y and Z are null sets, how is it possible to have an ordered pair then?
Best maths lec i have had untip now bahut accha padhata ho sir aap and voice seems enticing like its beckoning us to study willingly ofc
Sir please upload more of permutations combination and probability lectures..they are awesome
Sir we need concept of asymptotes and asymptotes in hyperbola and using asymptotes finding the area of the given function
Gazab ho guru ji! 12th yaad aa gya!
Mai to ab pdta bhi ni hu fir bhi puri video dekh gya..
It was really a fun. Thank you Sir!
Sir conic section mixed problems and vector ,3D . These two are scoring.
Ramesh Pandey
First video on vector tonight
Thank you very much sir.
Thanks a lot sir
Equations in 3variables vo cramer rule vaali problems v discuss kr diyo sir g
Thanku
Thanku
Little bit circular permutation covering in some other topic video
.
@@gtimeducation Sir mixed problems of conics, please.
This concept is mentioned wrong by some authors..Dont want to mention name but by arihant publish.
OUTSTANDING approach to such problems sir!
Get lost bitch
what is the volume of a pizza of radius z and height a ?Ans:(pi)(zz)a
Haha nice 👍👍
Fadu teaching style great experience
Sir Why cant I apply the Division formula of equal sizes in the following Question?
Once inside the theme park, the children go on the roller-coaster. Each roller-coaster car holds 3 people.
In how many different ways can the 8 children be divided into two groups of 3 and one group of 2 to go on the roller-coaster?
Ans: 560
if I apply the formula of Equal sizes the ans becomes 280. In which logic I can't divide by 2! ?
Hii think they divide 8! /2!3!3!2! x3! because they calculate the children who go on same car
nice, solving every question from basic
🙏pranam guruji, JEE k time p mil jate aap to aaj IIT m hota m.
Awesome explained sir 😍
Thank u so much sir ❤️I was suffering a lot due to this topic
sir your teaching is amazing
Sir where were you when we were preparing for jee.You are a great teacher sir.I am totally in love with the way of your teaching .Thank you sir.Thanks a lot
Excellent sir
Sir u used direct formula for onto functions in cengage book but in this video it is simple to understand
Yes akhi 🥰
Super classes maza aa gaya
Sir I didn't understand ki distribution ki waqt why do we just multiply with the required factorial. What is the explanation behind this?
Think of division as filling the bags. For example, if you want to divide n things into 3 groups, it is like you have 3 bags and you are just filling them. Now, if you have 3 bags and you want to distribute to three persons, in how many ways can you perform that? It would be number of ways of filling bags times 3 factorial(just like you fill the places of a 3 digit number).
Sir @10:16 why we are dividing by 2! & 3! in case of distribution , simply we would have multiplied it by 5! only. PlZz clear my doubt sir ??
It's like identical type problems u can get this concept in ncert it self
good explanation.. had doubt in grouping and distribution.. thankyou
Thank you so much sir
sir u are really great ur selected questions are really great
Sir just the one which was most required tq so much sir
Partition of 5 into 3 parts. =2(1, 1,3& 2,2,1) and so on. Q-In how many ways can be the integer 100 broken into 4 parts?
You are great sir at fundamental thank you very much.
This was really amazing sir.
Thnxx a lot
Thank you so much u cleared my confusion which was there from my childhood
Lol
God level 🙏
Thank you so much Sir. You are a hero. I wasn't able to understand this topic before I saw this lecture. Keep up the good work Sir.
Most underrated teacher ever ❤️🩹❤️🩹
Sir gazab ka padhate ho
Dhanyawad sir
Sir, i feel that the AIEEE that you had explained, had one some extra cases-
The question was on ordered pairs of (Y,Z) which are disjoint sets in X= {1,2,3,4,5}. You mentioned the answer as 3^5= 243
But, some cases when [X - (Y+Z)] set (set excluding Y, Z sets but still being a part of X) has different values but still (Y, Z) has same values are actually included in 243- will NOT form a part of the answer as we ought to report the ordered pairs of (Y, Z) ONLY.
I would love to hear your insights on this query.
exactly what I was thinking about
Very good explanation. Thank you sir.
No words for ur amazing explanation sir ....
how are you writing in mirror format
Sir aap gajab hai.
All my doubts are cleared sir. Thank u for wonderful explanation
Politics-P.M Modi
Maths-G Tewani Sir
L andhbhakt
Thank u for such a amazing lec to make topic easy
sir sahi kaha woh 100^10 aur 10^100 wale type mai confusion thi but ur r here on youtube so how can a student's confusion can remain a confusion...it just turns into solution..
11:02 Sir can we use this x+y+z=8 where x y and z greater then 2 and then we can use that n+r-1 c r-1 formulae
aniket
No you cannot use it directly. As given
As. All. X y z. > 2
So 8-1-1-1=5
Now the question got reduced to have
H+K+L=5. Where h k L >0
So now. Use. n-1Cr-1
....where 5identical objects need to be distributed among 3 people so that each gets at least one.
Moreover its distribution of distinct object not identical
Arora
No. 11111...are
Identical objects
No... The method u r using is for identical objects.
@@pavank5014 41:15 Here the integral solutions r not identical then y did we use identical objects formula??
Please help
चरण स्पर्श सर्
Most accurate teacher
You're best teacher!
Very useful for jee
Thank you it helped a lot
exactly what i needed
Really GOD LEVEL EXPLANATION
Are you the author of maths cengage? ??
Lol!!!!!!😂😂😂😂
Yes brother he is
😂😂😂😂No. He is professor at MIT
He has written cengage
Sir ! A kind request from you to please upload other parts of Multinomial theorem on TH-cam ( As only part 1 is available on TH-cam)
Thanks...
Please Reply Sir
I'm your huge big big fan sir.. Sir aapki depth hai maths me.
Sound knowledge of mathematics. Great..Love from #MathsPathshala
Sir i mst say...your explaination is totally fab..😍..I am lost for words..you are great..sir
AIEEE Ka Set wale question Ka answer 3 to the power 5 nahi hoga bcz aur bhi cases minus hoga,jb Set Z or Y empty hoga .
Yes, 1,2,3,4,5 should be a either in Y or Z they cannot be out of it as per question so 3^5 is confusing, and Y intersection Z is zero, so we cannot have (1,1),(2,2) etc.1 can go to either Y or Z not to out of it even if in X. If 1 goes to X then cannot be in Y. (1,2)(1,3)(1,4)(1,5)(2,1)(2,3)(2,4)(2,5) etc 20 options , is it correct !!!. 30.40 odd
i am following your book sir
😀
Awesome!
Sir in the first AIEEE question you explained in the video, doesn't partitioning just mean dividing. Which means we shouldn't multiply with 3!, in other words, why did you distribute it among the 3 groups?
wonderful😌
Great sir thanku from kmr.
thanks a lot sir.. even our math's too explained it simple way but still i couldn't get that properly ...but now its all clear ...thank you sir.
Tqqq awesome explanation
Author of cengage?
Sir you are a legend ,In my opinion you are 100 TIMES BETTER than Vedantu ,Unacademy etc
No sir is infinitely better then then
Superb explanation sir
Amazing lecture
Super explanation sir.
Cengage ka rate thoda kam kardo please sir
🙏🙏🙏🙏
Thankyou sir you explained beautifully ❤😘
Great sir🙏
Wonderful 👍👍
26:23
Maja aya really
thank you sir...
If mathematics is the religion than sir is the god 🙏
Thank you so much sir!!
18:43 how is that sum on distribution,it is division right ??....can someone explain
Very nice explanation sir, 🙂