Groupchat || Bangchan

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Stray kids shitz 😻✨

jisongs_
Does anyone know math?😭
I need help

only4hyunjinnie
Sae does
She's a nerd and a half

chans.lapt0p
I'm not a nerd
I'm just smarter than you

lee.always.kn0ws
Ah yea sure

jisongs_
Girl I once asked you a question "can you fit an infinite number of people into a hotel that has infinite rooms"
You're answer was no

_https.mxsoo
Wha-

meluv.seungmin

sxnnyfelixzs_
My brain forgot how to brain

criss.cross_apple.sauce
Wait but if there are infinite rooms in the hotel
Doesn't that mean it could fit infinite people?

chans.lapt0p
No
Bcuz the number of rooms in the hotel is countably infinite

cheesecak3.4life
Da fuc-
hUh?

chans.lapt0p
Pretend that you are the hotel manager
Well call it the Hilbert Hotel
Let's say that each room can fit only 1 person
And all of the rooms are full
But then one more person comes into the hotel, looking for a room
How do you give him a room? Easy.
Just tell everyone to move down a room. That way room 1 will be empty so you can put the person in there

Then imagine that an infinitely long bus comes to the hotel, each person needing a room
You give each person a room by telling everyone to move into the room that is double their room number
So the person in room 1 moves to room 2, the person in room 2 moves to room 4, the person in 3 moves to room 6 etc
That way each of the odd numbered rooms are available

But then more buses come
Infinite buses full of infinite people
So, you pull out a spreadsheet and write the room numbers, and write bus 1 seat 1, bus 1 seat 2... (B1S1, B1S2..)