Number of Permutations in INDEPENDENCE for Vowels being together

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[@manishanalawade9725]

Sir apka question jee mains 8 April 2023 shift 1 mai aaya hai

[@MathematicsTutor]

WOW! Thanks for the information.

[@illuminate66]

Yes 😄

[@MedQuiz237]

After a long search i found this am so glad

[@MathematicsTutor]

Thanks a lot for being here. You are most Welcomed!
Feel free to post questions. Your contribution provides me the right direction.
Normally I provide solution in 48 hours.
Best!

[@MathematicsTutor]

Here is another related video: ruclips.net/video/Mj2-rcgPGD0/видео.html
Thanks

[@KalkidanNetsanet-f5r]

Sir, what make me confused here is that, there are 5 vowels out of 12 letter so we left with 7 letters therefore we use 7! not 8!

[@ManjunataManjunata-bq8ny]

Sir we should add one extra to that number

[@whitedevilgaming1125]

5 vowels group becomes 1 & out of 12 so,we left with 7
Then u have add them it becomes 8!

[@MrSaurabh162]

really good explaination

[@mirunnue7488]

A letter is selected at random from each of the words “POOR” and “ELITE’’.
​Find the probability that two letters are selected are
​​(a) both vowels b) both consonants c) a vowel and a constant

[@lifeless.sandwich]

O and E. Vowels ofc.

[@probinaboro7501]

Thanks sir doubt cleared 🎉

[@marialorenacano9969]

I'm very thankful... I've been very confused about this...but you just make it clear to me..🥰☺️🇵🇭🇵🇭

[@MathematicsTutor]

Thanks and all the BEST!

[@tsioneshetu6010]

Exactly

[@shehlajasree3016]

Well explained.....thank you 👍🏻

[@lanaali8534]

Best maths teacher

[@srinivasan7892]

What is mean by " our selections are reduced that factor"... How repeating letters affect our selection?

[@scottlawrence8157]

This video saved myself!!!!!!

[@kishanprajapati8614]

please solve this one...
In how many different ways letter of the word "ASSOCIATION" can be
arranged that "A" and "S" comes at the ends ?

[@shivangpandey6489]

2×(factorial9)/((factorial2)×(factorial2)). I will give you explanation if you need.

[@engineerblogger]

@@shivangpandey6489 is this correct? required ans also gone divide b 2! due to two s in {Ass} is it ?

[@reeechsalam]

Thank u so much sir....atlast u cleared my doubt

[@MedQuiz237]

Thanks alot i had alot of probs in maths i hope i can get some help

[@-ArshdeipSingh-ww4ue]

Fantastic Teacher

[@manansaroch2004]

Sir dividing the repetition ,what does it mean?

[@Techtrail1]

Just awesome 🤩🤩🤩

[@rajeshkhadka225]

what if vowels donot comes together ?
what if E donot comes together ?

[@MathematicsTutor]

Here are such options: ruclips.net/video/Mj2-rcgPGD0/видео.html
Thanks

[@saileshjoshi5422]

Thanks sir

[@aram5642]

What if we put a different restriction: P cannot stand next to (ie. neither after nor before) D?

[@amansinghbilloria2785]

Brilliant

[@alex-1988]

Aman Singh tnx

[@-ArshdeipSingh-ww4ue]

U r an ideal teacher Sir..

[@deviprasadpandey]

in how many ways of the letters of the word differentiability can be aeeanged if vowels and consonants appear alternatively

[@MathematicsTutor]

This Playlist may help: ruclips.net/video/AbbCoXNqyQ8/видео.html
HAPPY NEW YEAR

[@hamidwar]

in how many ways can the letters of the word 'ENTRANCE' be arranged in such a way that the vowels always come together ?

[@MathematicsTutor]

Here is a video on NOT TOGETHER: ruclips.net/video/b3JvhQ4_DR4/видео.html
Apply the strategies
Thanks

[@chetananand8247]

6!/2! ×. 3!/2!👍👍

[@iqrayaseen424]

sir why not dividing the repeating letters????

[@MathematicsTutor]

We have divided by the repeating letter. Let me know specifically at which position you want to know. Thanks

[@shantanudwivedi779]

Respected sir, why we do not multiply by 2 in end because still we are having 2 conditions remaining in which all vowel will come first and all consonant at second or all consonant will come first and all vowel at second

[@MathematicsTutor]

The group of vowels can be at any position. That is why we have 8!.
Hope that is clear. Thanks

[@shantanudwivedi779]

@@MathematicsTutor thanks sir.

[@MathematicsTutor]

@@shantanudwivedi779 My pleasure

[@samadmaz912]

Sir but the vowels can be arranged themselves in 4!/3!

[@kevinshah2187]

bro u are not counting E

[@abaegbuemmanuel6545]

Yes the vowels can be arranged like that please sir address it

[@chetananand8247]

Sir can't we write the answer in factorial🙄🙄🙄🙄

[@MathematicsTutor]

Yes, you can

[@nabeelkhan4910]

Hmm the IEEEE can also be in between u hvnt counted that

[@MathematicsTutor]

When we take 8 positions, IEEE can take any of those positions. So, we have counted the in-between positions of IEEE.
Hope that is clear.
Thanks

[@dorisjaneenojosa9181]

Kuya why 8! Po pano po Yan nakuha

[@EJ09-Uzidoorman]

it's 8 because it count like this, where vowels are in group and it count as 1; IEEEE-N-D-P-N-D-N-C = 8

[@awesusamuel9472]

Not clwar at all

[@bhargavguntreddi6032]

I think there 7 factorial...not 8 factorial

[@AmanSingh-fl4lh]

Ieee is 1 count

[@mayanksharma9394]

Apply n-r+1cr

[@narayanamurthy5321]

Stop using calculator it's easy to solve

[@mamadetaslimtorabally7363]

In the A-Level CIE Pure Maths S1 and S2 components calculator is a must and is ALLOWED.

[@StyeAI]

What would you lose if you use a calculator? The chances of your brain malfunctioning in the exams is much bigger.

[@shubhamsinghmanoj1339]

Hindi bolna seekho sir aap ke English bolne se Cambridge ke professor nhi ban jaoge

[@MathematicsTutor]

Here is a playlist in Hindi: ruclips.net/video/kGpDFCsNs74/видео.html
Watch and let me know your response.
I have many more videos in Hindi.
Feel free to post your questions if you really want to understand their solutions.
Thanks