68. practice questions on permutations part 3

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these videos are 50 minutes long but feels like 10 to 15 min video first time in life so obsessed with studies thanku sir

chetansingh
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Sir, ap k lecture itne jyada ache h ki...me ap k answers batane se phele hi nikal leta hun..itne intuitive h..ki basics hi strongest part ban gaya h...contet is unbeatable.. respect++❤️❤️

manavpareek
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37:19 at this timestamp not starting with P can also be solved as
total 11 characters which has 2P's in it and not starting with P means 11-2= 9 characters choices at the start of the word and one character is taken from those 9 characters and we are left with 8+2(2P's)= 10 characters for the rest of the word and the answer turns out to be
(10!*9)/(4!*4!*2!) = 28350 which also the sirs answer if you simply (11!/(4!*4!*2!)) - (10!/(4!*4!))=28350

Ramu
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14:06 in q2 it should have proper set sign sir has used improper subset sign which is not satisfiyong condition of disjunction set

rockybalboa
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Permutation is also a special word including all vowels

godcode
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Q2 and Q3 can be solved with binomial expansion :

Q3 approach :
nC0(2^0) + nC1(2^1) + nC2(2^2)+ ... nCn(2^n)
we can compare this with binomial expansion of (1+x)^n.
here x = 2
therefore ans = (1+2)^n = 3^n


nCr = Select r elements from x for B.
2^r = number of subsets of B

sarth
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6:13 11:13 14:02 16:24 28:02 32:07 37:47 40:56 43:28 51:30

aryansrivastava
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Thank you, Amit sir, for your invaluable free resources on YouTube!

KaranMaandad-sv
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sir bs ek bat ye mene pehle bhi pda hua h pr ab jo dimag m gusha h na reason ke shat awesome ;🔥🔥❤❤

SHIVAMKUMAR-qzt
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34:44 the ans will be 10! / 4! 4! 2! because we have 2 p's

aryushgupta
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Thank you sir for clearing this MISSISSIPPI concept, which I was trying to solve since when i don't know, but finally realized it was just so easy :(

prassandyy
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sir iit khragpur ka paper level easy ya moderate kesa hota hai

sunilpatidar
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Sir previous video main apna bola ki jab proper identical word use hoga toh combination use karega
Lakin
Mississippi wala main identical word use hona par permutations use kiya
Kaise

riteshpandey.
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sir at @33:57, given problem is "Starts with P". Shouldn't it be like:- First to choose P out of 2 P's we can do that with 2C1 ways and rest same.
I am getting (2*10!)/4!4! , but answer is (10!/4!4!). Please explain where I am going wrong.

NoDaysOff
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sir, in question 2- the symbol used is of proper subsets, but the solution may contain full set as A and B

atultripathi
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Sir, in previous question where you told to create a word of 4 letter from 26 letters we did 26*26*26*26
by default we took repetation is allowed

but here in this question why are we not considering repetation of words

It's because of limited and unlimited repetation ?

nafeesshaikh
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Sir in case starting with p from the word MISSISSIPPI, since we have 2 P's, so don't we have 2 ways to start with??

vaishakb