Wouldn't change. The books would still be different. If you say there were two books of the same kind, and another two different books, then we would do 4!/2!. Easy. Done.
@@hansenhe7993 Can you please clarify what 4!/2! is expressing? If I understood correctly your scenario proposes 3 different kinds book. Are you suggesting to choice of order of the books is by the kind book?
whats wrong with advertising your product? And what's wrong with wanting money huh? Everyone needs an income. And it's not like he's only doing it for money. All these videos are for free.
This video has the roughest and the smoothest advertisements I have ever seen in my life at the same time.
Thank you so much for explaining this, and in such a creative way. That's why it is called the "art" of problem solving. lol I appreciate it, man.
That is the most beautiful product placement I’ve ever seen
I love how he guides the natural discovery this allows for multiple things to be studied in here we could also have advertising and math insights🤫👍
Fun fact: I found a copy of The art of problem solving on amazon for 2000 dollars.
found one for $70,000
lol
It’s still worth it
@@jaykay2218 Yes!
I downloaded the PDF for free
11:33 put this on loop
8:36
A formula can be (if you wanna multiply all those together) is n!
n = number of books
actually its n!*n
wait nvm
How would this change if the 4 books there were only 3 colours?
Wouldn't change. The books would still be different. If you say there were two books of the same kind, and another two different books, then we would do 4!/2!. Easy. Done.
@@hansenhe7993 Can you please clarify what 4!/2! is expressing? If I understood correctly your scenario proposes 3 different kinds book. Are you suggesting to choice of order of the books is by the kind book?
actually nice ad for the books
1:46 Perfection :-)
thanks so much! that made so much sense :)
Beginning of video: 0:10
AD: 2:15
Beginning of lesson: 2:40
lol
I have an ad blocker
but it's better than any of the other non-AoPS videos I've seen
thanks
Recommended by 3blue 1brown good content subscribed
3blue1brown is nice.
2:20 advertising lol
11:33 So unexpected but expected 🤣
0:54 Holds up blank page: a tree
Allison Yang , a tree diagram
Bruh
so good
🤣🤣🤣🤣🤣That n! caught me by surprise.
Beautiful
39916800 ways to stack the books
Thats not dry erase board!! That is Drywall! xD jkkk
why use books
why not
hes disguising a math problem as a good looking stack of books
0:14 Bragger
this video is so old
stop advertising your books you just want money bruh
whats wrong with advertising your product? And what's wrong with wanting money huh? Everyone needs an income. And it's not like he's only doing it for money. All these videos are for free.
Is there anything wrong with advertising your books?
I'd advertise his book for free because people need to learn math the right way