𝐓𝐈𝐌𝐄𝐒𝐓𝐀𝐌𝐏𝐒 00:25 Nature of Chapter 02:32 Weightage 02:54 *Index* 04:03 *Critical Topics* 05:44 *Classical Probability* 06:45 _Selection Problems_ 09:47 *REMARK:* In probability, Identical objects are considered Distinct 14:08 _Arrangement Problems_ 21:08 🚬 Standard A.P Question 26:14 🚬 Divisibility Question 36:28 _Distribution Problems_ 40:32 🚬 When Sample Space is ∞ & Event has ∞ possibility *(Geometrical Probability)* 54:50 *Odds in Favour & Odds Against* 56:14 In terms of Classical Probability 1:03:41 *Probability using Set Theory* 1:06:29 _Ques (Chosen number is a multiple of the given of numbers)_ 1:08:31 *NOTE:* Or ➙ A ∪ B Neither Nor ➙ Aᶜ ∩ Bᶜ 1:08:57 Use of Venn Diagram 1:16:03 *👁️🗨️bservation:* P(A∩B) ≤ P(A), P(B) 1:16:42 *👁️🗨️bservation:* P(A), P(B) ≤ P(A∪B) 1:16:50 *👁️🗨️bservation:* P(A∪B) ≤ P(A) + P(B) 1:17:22 *Conditional Probability* 1:22:40 🚬 Meaning 1:34:54 *Multiplication Theorem* 1:36:46 _Conceptual Question 🚩_ 1:38:27 *🌟NOTE:* Whenever Order of Selection is mentioned, use Multiplication Theorem 1:42:25 *⚡REMARK:* Drawing one by one without replacement & Drawing at once are equivalent 1:43:54 _Good Question_ 1:43:55 _🚬 Drawing balls till condition is met_ 1:48:42 *Independent Events* 1:50:23 *NOTE:* If A & B are independent then their complement(s) are also independent 1:52:09 _🚬 At least one_ 1:56:24 _Conceptual Question 🚩_ 2:03:28 *Mutually Exclusive Events* 2:07:00 _🚬 Exactly one of A, B occurs_ 2:11:06 _🚬 Order of win Matters_ 2:18:01 _🚬 Game continues until condition met (∞ G.P) 2:22:01 *Total Probability Law* 2:23:51 Question 2:25:33 *NOTE:* If probability of initially choosing the bag is not given then consider them equally likely to happen 2:28:26 Theory 2:32:10 _Tough Question_ 2:39:38 *Bayes’ Theorem* 2:41:57 Question 2:46:09 Formula 2:51:54 _Good Question_ 3:06:30 Value of Testimony 3:12:02 *Random Variable* 3:14:03 *Probability Distribution* 3:18:49 ① Mean (or Expectation) 3:21:30 ② Variance 3:30:15 *Bernoulli's Trial* 3:31:20 *Binomial Distribution* 3:33:32 *REMARK:* Parameter ‘n’ & ‘p’ 3:40:07 Mean & Variance
For self revision 1:38:00 Multiplication theorem 1:42:30 imp remark 1:47:30 Question 2:02:00 Question 2:13:00 Question 2:22:10 Total prob. Law 2:38:00 question Do bayes theorem and its last two questions must 3:11:54 check
10:29 22:50 27:10 whenever probability mei divisibily ke Q aayenge tho 37:16 diff b/w distributiond and arrangement 45:59 1:06:44 1:23:30 meaning of conditional probability 2:32:30 3:18:46 - expectation vs variance
01:47:00 Why didnt we take the order?? 01:56:00 Mutually independent and union to intersection 02:02:00 good Q 02:50:00 Nice one 03:01:00 Entire Bayes theorem 🔥 03:17:00 Numerator has to be intersection
For me: 6:33 CP start 14:31 Imp Q 21:46 Good PYQ 40:01 2 qs of GP 55:49 New for me 27:10 Also imp 1:10:01 Tip:Use Venn diagram for these qs 1:24:20 Sample space gets small 1:35:46 Imp concept on multiplication theorem 1:37:05 Q as example 1:42:10 Point to be noted 1:42:36 PTBN 1:45:38 Repeat 1:48:46 Independent events 2:20:42 Good Q [Standard Type] 2:28:27 Total Probability Law 2:31:57 Question to repeat 2:45:06 Repeat
16:12 concept clarity 🗿💀🥶op bhai 20:48 bhai kya baat hai gap method girl and boy broblem 🗿💀🥶😶🌫️ 22:28 bhai bhai man khush kar diya ✅️✅️Ap wala ques must attempt 28:26 man hi khush kar diya sir ✅️😶🌫️ 52:06 ok sir ✅️🫡🗿 1:02:02 good bhai att kardi ✅️🫡💀 1:47:33 bhai concept clarity ⭐️⭐️⭐️✅️ 2:00:49 good❤❤ 2:19:42 do attempt 🗿🥶🤔🤔😆⭐️✅️ 2:30:25 good ques
3:11:22 when sir said every student does this question wrong, i took that as a challenge aur abhi check kiya mera exactly same answer aagayaa🥹 i don't usually comment but I'm so happy right noww!!
18:40 rpt 38:08 new for me 49:00 good question 56:05 have a look on formula 1:00:17 try once 1:03:49 formula 1:11:00 diagram application 1:15:20 note it 1:20:00 formula note 1:22:00 question note 1:25:00 question note 1:30:00 question note 1:34:31 tak done
Sir till the starting of sessions of was not getting marks in maths specially... i aslo lost the motivation to do so....but aaj mere conci section ka test tha jo ki mane aap se phadha tha voh test mai mere 14/15 aaye ....i don't know how to thanku but the impact you have putted in someone's life ..❤❤ love you bhai
Agr Probability sach me samjh aya to ye problem solve krke dikhao. Mr Ashok has 3 sons Navin, Shyam & Prakash . He wants to enroll his sons for junior KG admission in school. Hence he submits 3 applications for admission in each School ABC, XYZ & MNO for his sons. School ABC received 3300 applications for Jr. KG. School XYZ recieved 1690 applications & School MNO received 900 applications. School ABC has only 330 seats available for Jr. KG. School XYZ has 169 seats available & School MNO has only 90 seats available for Jr.KG. All schools have decided to select students by Lucky draw method. 1. What is the probability of atleast one son of Ashok getting admission in School MNO? 2. Calculate probability of atleast one son getting admission in School ABC 3. Calculate probability of all three sons getting admission in school MNO.
SIR, MAI EK NEET ASPIRANT HU & UNACADEMY SE HI PD RHA HU NEET KE LIYE . SIR, MAI PCMB STUDENT HU & AAPKE LECTURES MUJHE ACHHE SE SMJ AA JAATE HAI KYUKI APKA SMJHANE KA PROCESS BHT BASIC SE ADV LEVEL HAI JO HR KOI SMJ SKTA HAI .MERA MATH KA NIGHTMARE DURR KRNE KE LIYE LOTS OF THNX FROM MY SIDE .
1:43:00 mey Sir drawn randomly and drawn one by one ewuivalent kayse ho sakta ha agar order matter na bi kare to Agar one by one ha to may 5C1.4C1.5C1 upon 10C3 karunga and agar randomly hota then may 5C2.5C1 upon 10C3 karta inme to ams alag ho rahe hay .... may kiya galat kar raha hu pls help sir
hi sir, i am an ex student of yours from jee 2023, I am currently doing my btech from manit bhopal and in my 2nd yr, there was a topic common with jee syllabous so I was here to study that. It felt just like the old time, love you bhai💖
manzil i s for legends, for advance and mains both, this is for mains, to aapko yehi better lgna zayaz h, humko dono jarurat k hisab se aur time ke hisab se thik lage.. jaise abhi mains ke liye ye thik h, but advance me manzil ke aage ye kuch nhi h
3:10:55 sir, lie ki probability h vo toh. 1,2,3,4,5 bhi bol skta h, like 2 aye aur 4 bol de , lie toh yeh bhee h. Shouldn't it be like this :considering a simple situation, the die is thrown 1440 times. then 240 six will come and 1200 non sixes. out of 240 sixes he will report 180 because of condition mentioned. and out of 1200 non sixes he will lie about 300 so in them we can say that 1/5 will he will lie about it being 6(as that number is not taken as he is lying.) so out of 300 non sixes he will report 60 sixes thus total 240 sixes reported. out of these true sixes will be 180 so the answer is 3/4. In this if I say 300 lies were all 6 then the P is 180/480 that is 3/8 but all lies are going to be about 6 is not mentioned anywhere. Waiting for answer....... :)
𝐓𝐈𝐌𝐄𝐒𝐓𝐀𝐌𝐏𝐒
00:25 Nature of Chapter
02:32 Weightage
02:54 *Index*
04:03 *Critical Topics*
05:44 *Classical Probability*
06:45 _Selection Problems_
09:47 *REMARK:* In probability, Identical objects are considered Distinct
14:08 _Arrangement Problems_
21:08 🚬 Standard A.P Question
26:14 🚬 Divisibility Question
36:28 _Distribution Problems_
40:32 🚬 When Sample Space is ∞ & Event has ∞ possibility *(Geometrical Probability)*
54:50 *Odds in Favour & Odds Against*
56:14 In terms of Classical Probability
1:03:41 *Probability using Set Theory*
1:06:29 _Ques (Chosen number is a multiple of the given of numbers)_
1:08:31 *NOTE:* Or ➙ A ∪ B
Neither Nor ➙ Aᶜ ∩ Bᶜ
1:08:57 Use of Venn Diagram
1:16:03 *👁️🗨️bservation:* P(A∩B) ≤ P(A), P(B)
1:16:42 *👁️🗨️bservation:* P(A), P(B) ≤ P(A∪B)
1:16:50 *👁️🗨️bservation:* P(A∪B) ≤ P(A) + P(B)
1:17:22 *Conditional Probability*
1:22:40 🚬 Meaning
1:34:54 *Multiplication Theorem*
1:36:46 _Conceptual Question 🚩_
1:38:27 *🌟NOTE:* Whenever Order of Selection is mentioned, use Multiplication Theorem
1:42:25 *⚡REMARK:* Drawing one by one without replacement & Drawing at once are equivalent
1:43:54 _Good Question_
1:43:55 _🚬 Drawing balls till condition is met_
1:48:42 *Independent Events*
1:50:23 *NOTE:* If A & B are independent then their complement(s) are also independent
1:52:09 _🚬 At least one_
1:56:24 _Conceptual Question 🚩_
2:03:28 *Mutually Exclusive Events*
2:07:00 _🚬 Exactly one of A, B occurs_
2:11:06 _🚬 Order of win Matters_
2:18:01 _🚬 Game continues until condition met (∞ G.P)
2:22:01 *Total Probability Law*
2:23:51 Question
2:25:33 *NOTE:* If probability of initially choosing the bag is not given then consider them equally likely to happen
2:28:26 Theory
2:32:10 _Tough Question_
2:39:38 *Bayes’ Theorem*
2:41:57 Question
2:46:09 Formula
2:51:54 _Good Question_
3:06:30 Value of Testimony
3:12:02 *Random Variable*
3:14:03 *Probability Distribution*
3:18:49 ① Mean (or Expectation)
3:21:30 ② Variance
3:30:15 *Bernoulli's Trial*
3:31:20 *Binomial Distribution*
3:33:32 *REMARK:* Parameter ‘n’ & ‘p’
3:40:07 Mean & Variance
For self revision 1:38:00 Multiplication theorem
1:42:30 imp remark
1:47:30 Question
2:02:00 Question
2:13:00 Question
2:22:10 Total prob. Law
2:38:00 question
Do bayes theorem and its last two questions must
3:11:54 check
Good Q's to repeat-
45:51
1:44:05
2:08:39
2:11:36
2:32:30
love you mere bhai 🫶🏻
Ahh thxxx
10:29
22:50
27:10 whenever probability mei divisibily ke Q aayenge tho
37:16 diff b/w distributiond and arrangement
45:59
1:06:44
1:23:30 meaning of conditional probability
2:32:30
3:18:46 - expectation vs variance
whats the answer of 2:16:37
01:47:00 Why didnt we take the order??
01:56:00 Mutually independent and union to intersection
02:02:00 good Q
02:50:00 Nice one
03:01:00 Entire Bayes theorem 🔥
03:17:00 Numerator has to be intersection
Sir your contents are amazing 😊😊😊
For me: 6:33 CP start
14:31 Imp Q
21:46 Good PYQ
40:01 2 qs of GP
55:49 New for me
27:10 Also imp
1:10:01 Tip:Use Venn diagram for these qs
1:24:20 Sample space gets small
1:35:46 Imp concept on multiplication theorem
1:37:05 Q as example
1:42:10 Point to be noted
1:42:36 PTBN
1:45:38 Repeat
1:48:46 Independent events
2:20:42 Good Q [Standard Type]
2:28:27 Total Probability Law
2:31:57 Question to repeat
2:45:06 Repeat
2:55:51 Repeat Q
3:06:35 Repeat Q
Last Part From 3:29:38 Removed From Syllabus 2024
2:15:30 mene mistake kar di same 3 se multiply nahi kiya
Next time careful rahunga
Sorry
1:38:37 jab bhi order aye multiplication thereom lagana
1:59:12 jaha independent aa jaye waha intersection laa ke multiplication karna hai
16:12 concept clarity 🗿💀🥶op bhai
20:48 bhai kya baat hai gap method girl and boy broblem 🗿💀🥶😶🌫️
22:28 bhai bhai man khush kar diya ✅️✅️Ap wala ques must attempt
28:26 man hi khush kar diya sir ✅️😶🌫️
52:06 ok sir ✅️🫡🗿
1:02:02 good bhai att kardi ✅️🫡💀
1:47:33 bhai concept clarity ⭐️⭐️⭐️✅️
2:00:49 good❤❤
2:19:42 do attempt 🗿🥶🤔🤔😆⭐️✅️
2:30:25 good ques
saaf hi krdi bhai tune to
23:57 Chosing numbers in AP
2:11:26 good sum
40:07 repeat[2 QUESTIOND FROM THERE]..(for self)**
2:33:07 repeat[ B PART IS IMPORTANT]..
3:03:39 Do it on ur own[skipped for tommorow as hw]
3:11:22 when sir said every student does this question wrong, i took that as a challenge aur abhi check kiya mera exactly same answer aagayaa🥹 i don't usually comment but I'm so happy right noww!!
18:40 rpt
38:08 new for me
49:00 good question
56:05 have a look on formula
1:00:17 try once
1:03:49 formula
1:11:00 diagram application
1:15:20 note it
1:20:00 formula note
1:22:00 question note
1:25:00 question note
1:30:00 question note
1:34:31 tak done
By far the best teacher 🎉 or bhaiyaa❤
u re The best power and energitic teacher of maths forever and everandever😇🔥🔥🔥🔥.positivity is infinity.love u bhai.
52:36... Question doobara karna hai
1:47:28... Yeh repeat karna hai
revisting this video for jee mains attempt 2 hope to cross 160 in 2nd attempt 🙏
1st mein kitne ai bro
I hope to cross 250 in second attempt after getting 133 in 1st attempt 💀
Bhai notes kaise download kru
Mai download nhi kr pa rha ek baar bta do plz
@@awmdanger9677Bhai notes kaise download kru
Mai download nhi kr pa rha ek baar bta do plz
@@im.kRiStEn_424Bhai notes kaise download kru
Mai download nhi kr pa rha ek baar bta do plz
2:15:59 best moment 😂😂😂
Pw😂
I was looking for this comment 😂
Sir till the starting of sessions of was not getting marks in maths specially... i aslo lost the motivation to do so....but aaj mere conci section ka test tha jo ki mane aap se phadha tha voh test mai mere 14/15 aaye ....i don't know how to thanku but the impact you have putted in someone's life ..❤❤ love you bhai
Agr Probability sach me samjh aya to ye problem solve krke dikhao.
Mr Ashok has 3 sons Navin, Shyam & Prakash . He wants to enroll his sons for junior KG admission in school. Hence he submits 3 applications for admission in each School ABC, XYZ & MNO for his sons. School ABC received 3300 applications for Jr. KG. School XYZ recieved 1690 applications & School MNO received 900 applications. School ABC has only 330 seats available for Jr. KG. School XYZ has 169 seats available & School MNO has only 90 seats available for Jr.KG. All schools have decided to select students by Lucky draw method.
1. What is the probability of atleast one son of Ashok getting admission in School MNO?
2. Calculate probability of atleast one son getting admission in School ABC
3. Calculate probability of all three sons getting admission in school MNO.
Bijection
Simple question which is written lengthy😂
thank you sir this lecture helped a lot
Sir binomial distribution is not in our syllabus
Amazing Ssn Bhai🔥🔥❤Revision Hojayegi saare concepts peejayenge 😁Thanku so much Dher saara pyaar Dher saari duayein Ly3m bhai❤❤
Didi If you don't mind.. kya aap mujhe bata sakte ho ki jee nexus live sessions me bohot logo ki profile aapki tarah hoti haii aisa kyu??
What's your profile picture
@@mahendrasakharkar4951She's part of Outliers group.
they are the out liars
2:18:19 easy question to solve using recurrence relation
18:38 repeat
2:30:58 repeat
2:47:27 for bayes them
3:24:48 for biased coin random variable
3:28:28 on same topi
3:34:26 remember while win
Mistake at 3:11:00. P(A|E2) is 1/4 x 1/5. Bcz the guy has 5 options to lie from
Its 3/4 only
No leave it
Even I can't explain 😂
1/4 × 5/6 hi ayega brother , 5 option to lie from so favourable cases 5.. total possible = 6
3:29:07 in this p1,p2 should be multiplied by 3 as to account for the arrangement of picking 2 white balls
thank you sir, your teaching so helpful❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
01:43:55 Multiplication Theorem Problem
SIR YOU ARE THE BEST. LIFE MAIN BAS EK BAAR AAPSE MILNA CHAHTA HU.
Outstanding faculty of maths in india ❤🎉
2:54:52 Bayes theorem application
When I watch ur lecture then all chapters becomes very easy sir. Thanks a lot for such content sir.
Students alter answer and teachers alter questions... 9:22
repeat
3:02:47
3:05:50
3:11:31
Best video on probability!!😃😃
LEGEND OF MATHS ❤LOVE U SIR , WIZARD OF MATHS❤❤ *BHAI**
Sir pdf access krne me bht dikkat AA rhi h
Bhai yeh shera kaun hain?
us students
@@basedtsar9440 acha thanks
Bhai mae bhi yahi soch ke pagal ho rha tha
Sorry ka doggy
3:03:23 itna swadisht to kabhi koi pakwan bhi nahi khaya aaj tak 🤤
26:38 sum of number divisible by.....type questions
SIR, MAI EK NEET ASPIRANT HU & UNACADEMY SE HI PD RHA HU NEET KE LIYE .
SIR, MAI PCMB STUDENT HU & AAPKE LECTURES MUJHE ACHHE SE SMJ AA JAATE HAI KYUKI APKA SMJHANE KA PROCESS BHT BASIC SE ADV LEVEL HAI JO HR KOI SMJ SKTA HAI .MERA MATH KA NIGHTMARE DURR KRNE KE LIYE LOTS OF THNX FROM MY SIDE .
Sir
Love ❤ from Kashmir
You are Best teacher of math in UA-cam
Bhai notes kaise download kru
Mai download nhi kr pa rha ek baar bta do plz
@@amarjeetyadav4569mere pass aja mei de duga notes
35:17 we can also complete the cube then the question is same as previous one (because the extra term 3(ab2+a2b is divisible by 3) 😮
1:48:26 ans will be 2/99 it is calculation error
Please upload this chapter notes
Thank you sir for hardwork and efforts .... it really helps us to revise our chapters prior to exams...
1:31
Best teacher for maths❤
Thank you so much sir Finally syllabus Pooja hogya aaj❤
Are waah 🎉
pooja ho gaya accha ji
Pooja ho gya Congratulations 😂😂
Sir apne to 4 hr ke close mein ISC ke liye hamara bohut marks secure kar diya.
18:43
25:51
35:35
39:57
48:06
1:45:42
2:14:35
2:56:06
2:33:30
3:11:34
Sir full class 12th for board ke lecture bana dijiye please 😊😊😊
Sir relation function nhi padhaenge aap class 11th .....
One shot le aao bhai 🥺
hw 2:16:30 answer 0.4752
1:43:00 mey Sir drawn randomly and drawn one by one ewuivalent kayse ho sakta ha agar order matter na bi kare to
Agar one by one ha to may 5C1.4C1.5C1 upon 10C3 karunga and agar randomly hota then may 5C2.5C1 upon 10C3 karta inme to ams alag ho rahe hay .... may kiya galat kar raha hu pls help sir
Ek 2! Extra aa raha hai mera bhi
2:52:00 done
thanks for +4 👍
33:58 sir agar x^3 +y^3 ko factorise krein to x+y aaega to isse time Bach jaega
For physics, physical chemistry-alakh pandey old lectures
For maths-Arvind Kalia Sir❤
Bhai notes kaise download kru
Mai download nhi kr pa rha ek baar bta do plz
thank you sir
Sir aap bhaut accha padate hai cc pe pura topic udh gya tha par ab clear ho gya
hi sir, i am an ex student of yours from jee 2023, I am currently doing my btech from manit bhopal and in my 2nd yr, there was a topic common with jee syllabous so I was here to study that. It felt just like the old time, love you bhai💖
Thank you sir
1:03:30 sir mera toh yaha sirf y = 1/3 hi aa raha... y +y² = 1 + y² -2y bann rahi meri equation what have i done wrong ? 🤔🤔
Sir pls statistics one shot
2:17 ans 0.4752
Repeat
1:37:45
3:03:16
2:20:00 hard question 3
30:30 such a crazy question it was😅
25:02 important ques remeber
29:02
Sir im in 10th but i love your videos
I have completed all previous chapters of math
Love uh💜💜
52:30 good question.
14:00
25:00
27:30
34:00
38:00
42:00
47:00
1:02:45
1:05:05
5:46 lecture starts
He is a Very good teacher 😢
really nice thought.
Urrr besttt sir
3:25:57
3:37:08
3:41:29
3:06:20 yaha" probability tht the answer he knows is correct=1-(1/8)-(1/4) hoga na but solution me use 1 kyu liya he
The probability that his answer his correct when he knows the answer will be a sure event and hence the probability is taken as 1.
Best faculty for maths
Sir is the goat of mathematics
52:30
Thank you so much sir, for clearing my concepts in the chapter, i am ready to give my best in this chapter
This series is better than manzil
Ahh.... don't judge bro...we have to give exam,not teachers have to... they are also good and here also teachers are good,i think we shouldn't compare
manzil i s for legends, for advance and mains both, this is for mains, to aapko yehi better lgna zayaz h, humko dono jarurat k hisab se aur time ke hisab se thik lage.. jaise abhi mains ke liye ye thik h, but advance me manzil ke aage ye kuch nhi h
it MAY BE for advance , if someone want to do during advance, it is their choice, but the best??
lol 😂@@Golok-Aspirant
hmm phir thik h but adv sirf isi ke bharose mt jana
personal notes hi padhna jisme pw batch ka deep chize bhi ho@@Golok-Aspirant
O, CRACK cse/ELECTRICAL IN iit B, OTHER BRANCHES ARE EASIER THANS cs BRANCH OF LOWER IIT
GOOD LUCK@@Golok-Aspirant
if someone is finding a best lecture trust me he will build your interest in MATHEMATICS
Best Teacher for JEE..
101% true
Tarun khandelwal entres the chat
@@sureshmohanmishra5012 why you entered the chat here??
@@BeingPal jali na jali na 🤣🤣🤣🤣🤣🤣🤣
Thank you so much sir
remember
1:08:35
1:52:42
Sir ji ekdum maja hi agaya
Bhai notes kaise download kru
Mai download nhi kr pa rha ek baar bta do plz
@@amarjeetyadav4569 un notes pe hold karo dekhna download ka option ayega
@@amarjeetyadav4569 check description
25:00
2:02:00
2:14:30
3:00:00
3:10:55 sir, lie ki probability h vo toh. 1,2,3,4,5 bhi bol skta h, like 2 aye aur 4 bol de , lie toh yeh bhee h. Shouldn't it be like this :considering a simple situation, the die is thrown 1440 times. then 240 six will come and 1200 non sixes. out of 240 sixes he will report 180 because of condition mentioned. and out of 1200 non sixes he will lie about 300 so in them we can say that 1/5 will he will lie about it being 6(as that number is not taken as he is lying.) so out of 300 non sixes he will report 60 sixes thus total 240 sixes reported. out of these true sixes will be 180 so the answer is 3/4.
In this if I say 300 lies were all 6 then the P is 180/480 that is 3/8 but all lies are going to be about 6 is not mentioned anywhere.
Waiting for answer....... :)
Correct
Thank you sir ❤
30:22 someone tell cant we take 2 no from 3k+1 and 1 numbrr from 3k+2 do 100c2+100c1 this will be added too
no we can't do that because 3k+1+3k+1+3k+2=9k+4 (which is not divisble by 3)
@@vanshkapil9247 ohh yess sorry I should ve known that my bad now I understand thanks🤝🏻
5:46
52:37
Best video of the day ❤ thanks for your hardwork sir
❤❤best teacher
# bhai❤