5:04 Only smart people claim themselves to not be smart. you are indeed very very smart. Otherwise you wouldn't have chosen Mathematics as a subject to start a channel on.
Good Afternoon，Sir， My first intuition to the solution was 6k = 720, then k = 120，hence k + n is 839 But I don't know whether there are other alternatives or not Good Day & Thank you，Sir
@@holyshit922 Depends of which part of the globe you are from. Some people considered that 0 belongs to N, some other not. Strangely there are rules for it. As a european, 0 belongs to N but not to N*, however I saw sometimes non european using N as N*. Sometime tricky
I don’t understand why n can’t be 720 and k can’t be 1/6, it’s functionally the same just without the added step of taking a factor of 720 out to make it 719!, why isn’t 720.16666666….. a correct answer?
@@harvv5706 Simple (3!)!)!/3! = k.n! -> (6!)!/6 = k.n! -> 720!/6 = k.n! -> 720.719!/6 = k.n! -> 120. 719! = k.n! -> k=120 , n=719 Tell me how many seconds will it take to mentally realize this ? Maximum 20 sec. So yeah , well within a minute
![ПОЛНАЯ ИСТОРИЯ ЭКЗОРЦИЗМА [Топ Сикрет]](http://i.ytimg.com/vi/qBySr6Bt0B8/mqdefault.jpg)
This is a very simple problem that only looks intimidating.
I had no idea how to tackle this one; nice problem and solution!
Excellent explanation Sir. Thanks 👍
Amazing!!
From the onset this looks like numerator is 720! And denominator is 6 so this turns into 719!x120 or k=120 and n=719 so k+n=839.
beautiful!!!!
5:04 Only smart people claim themselves to not be smart. you are indeed very very smart. Otherwise you wouldn't have chosen Mathematics as a subject to start a channel on.
Not necessarily but I agree this guy is a very good teacher and is pretty smart
Solution:
3! = 6
6! = 720
so the left side is
720! / 6 = 720 / 6 * 719! = 120 * 719!
so k = 120 and n = 719
k + n = 120 + 719 = 839
By Z+ do you mean the natural numbers N?
Good Afternoon，Sir，
My first intuition to the solution was 6k = 720, then k = 120，hence k + n is 839
But I don't know whether there are other alternatives or not
Good Day & Thank you，Sir
Instead of Z+ you can use N
They are the same only when you exclude zero from natural numbers
@@holyshit922 Depends of which part of the globe you are from. Some people considered that 0 belongs to N, some other not. Strangely there are rules for it. As a european, 0 belongs to N but not to N*, however I saw sometimes non european using N as N*. Sometime tricky
@@fabriceaxisa he said positive integers, 0 does not count
@@amirrozenmanmalach3771 0 belongs to N, belongs to Z+ and belongs to Z-, but not to N*
@@amirrozenmanmalach3771 I with @fabriceaxisa write about your proposition to write N instead of Z+ showing that this would be ambiguous
If n and k would've belonged to Positive Q, then it is possible that k = 1/6 and n=720.
The school curriculum in America is very easy.
I don’t understand why n can’t be 720 and k can’t be 1/6, it’s functionally the same just without the added step of taking a factor of 720 out to make it 719!, why isn’t 720.16666666….. a correct answer?
Because k has to be in the Set of positive integers.
@@pillegraknel4308oh I thought it was just positive numbers that makes sense
I solve this within 30 seconds
why is this an olympiad level problem? i did it in my mind in about a minute before i had my morning coffee…
This is 2003 AIME I (there is I and II), of course its easy because its AIME I, 21 years ago, and its literally the number 1 question in the paper
I don't think 8 mins 41 secs is needed to solve this problem, I did it within a minute.
Wait how??
I'm glad you you could do that.
Me too. I think he took 8 minutes and 41 seconds to explain It in the best way possible
@@harvv5706 Simple
(3!)!)!/3! = k.n!
-> (6!)!/6 = k.n!
-> 720!/6 = k.n!
-> 720.719!/6 = k.n!
-> 120. 719! = k.n!
-> k=120 , n=719
Tell me how many seconds will it take to mentally realize this ? Maximum 20 sec. So yeah , well within a minute
dont tell a man how to do his job. it's a video intended for people who knows little math and that's prime newtons style.