Permutations and Combinations - Circular Arrangement | Don't Memorise | GMAT/CAT/Bank PO/SSC CGL

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In this video, we will learn:
0:00 Circular arrangement
0:58 Linear arrangement formula
2:07 Circular arrangement formula
2:49 First person can be seated in how many ways?
4:00 Second person can be seated in how many ways?

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#Permutations #Combinations #neet2024 #infinityLearnNEET #neetsyllabus #neet2025

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#DidYouKnow:
A permutation is used for list of data (where the order of the data matters) and the combination is used for a group of data (where the order of data doesn’t matter).

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[vrs]

whoever did not understand this read below

let me ask you a question, if you are sitting on any of the 6 chairs arranged in circular, which particular chair are you sitting on


most important in this is the word "ways"
lets understand what is meant by "ways"

one person wants to seat in a chair among six chairs arranged in straight line
Q:what are different ways to do so?
way 1: //he is sitting on 1st chair
way 2: NSNNNN //he is sitting on 2nd chair
way 3: NNSNNN //he is sitting on 3rd chair
way 4: NNNSNN //he is sitting on 4th chair
way 5: NNNNSN //he is sitting on 5th chair
way 6: //he is sitting on 6th chair

Ans: so there are 6 different ways he can sit on a chair.

now when it comes to circular arrangement of chair
what are different ways a person can seat on a chair?
way 1: /he is sitting on 1st chair
way 2: /he is sitting on 1st chair
way 3: /he is sitting on 1st chair
way 4: /he is sitting on 1st chair
way 5: /he is sitting on 1st chair
way 6: /he is sitting on 1st chair

confused right, circle does not have a starting point, the thing is whenever that person chooses a chair and seats on it, that particular chair itself is the first chair thats why its always going to be which is the only one "unique" way that he can sit.
ans: one way

conclusion: in linear arrangement of chairs whenever a person sits on a particular chair his chair is being referenced from the first chair eg. he is sitting on 3rd chair or he is siting on 5th chair this way we have 6 different ways
# but in circular arrangement whichever chair he sits on is the first chair itself bcz there is no start point in circle for reference to say that he is sitting on 3rd chair or 4th chair and so on.

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