A great challenge. Math Olympiad Question Thank You for watching. Have a great day! #maths #math #mathematics #algebra
Пікірлер: 77
@moonwatcher20015 күн бұрын
Excellent and amene!
@shrnok23 күн бұрын
Since 7 is there, you can guess that it is 7!
@EmmanuelBrandt19 күн бұрын
and verify by decomposing into prime factors and recompose to fill the missing numbers
@Eta_Carinae__19 күн бұрын
Yeah, given it has a solution, it's gonna be the highest prime factor, but that feels like cheating.
@stevebeal73Күн бұрын
That's what I said to myself!
@mariobrito42719 күн бұрын
My reasoning even without making any calculations was "if there is an integer solution, it's gotta be 7 as it's bigger than 6 and a prime". Turns out it's 7, so maybe not a bad heuristic lol
@jozz220 күн бұрын
Amusing
@anasanasa6456 күн бұрын
Good ❤
@deniseockey62045 күн бұрын
That’s a math Olympiad problem? That is too simple of a question.
@jerry235719 күн бұрын
7! It's simple, 10!/6! = 7*8*9*10. Reduce each number to product of prime factors, then rearrange and it's simple to show that it's 7! But because 7 is a prime number, then the lowest possible answer is 7!
@mulatacatachufla2 күн бұрын
It's not 7! It is: X=7X8X9X10
@DrAndyShick18 күн бұрын
I did this in my head in about 30 seconds
@fdostgo9371Күн бұрын
Gracias
@KipIngram20 күн бұрын
It's quite easy to show x = 7.
@ManojkantSamal7 күн бұрын
X=7 10!=6!×7×8×9×10 10!/6! =7×8×9×10 =7×2×4×3×3×2×5 =7×(2×3)×5×4×3×2×1 =7×6×5×4×3×2×1 =7! As per question X!= 10!/6! X!=7! X=7
@erdemakca433Күн бұрын
10x9x8x7=5040=7!
@sitarsbi2 күн бұрын
7! Obviously
@joefuentes297722 күн бұрын
If you can't do it in your head you ain't ready 😂
@user-dq3uh6ee5w5 күн бұрын
7.
@willie333b19 күн бұрын
7
@santokhsidhuatla70455 күн бұрын
5040 10*9*8*7=5040
@jayashreeks55517 күн бұрын
2.5
@charlessweeting966911 күн бұрын
5040
@user-rg1vh8yj9m6 күн бұрын
5040=7!
@donaldasayers19 күн бұрын
Well known that 6!x7!=10!
@user-qy8re3yx3d6 күн бұрын
7!
@user-sy4yk3pb1x6 күн бұрын
10factorial
@user-sy4yk3pb1x6 күн бұрын
7 factorial
@user-mq2cj2ff4z2 күн бұрын
10!/6!=10×9×8×7=7×6×5×4×3×2=7!よってX=7……This question is very very easy ……O.K.?
@SuperAnangs9 күн бұрын
In 5 sec, I have solved x=7
@NLGeebee18 күн бұрын
x = 10/6! Easy 😂
@mulatacatachufla2 күн бұрын
7! Is not = X! Instead is: 10!-6!=X
@benjaminchang13826 күн бұрын
meaningless question, it is just good for this number.
5 min video for, 30 second problem. I thought new generations should be smarter.
@MrConverse20 күн бұрын
I’m a mathematics tutor specializing in discrete math. My students and I use factorials all the time and often have them as numerator and denominator like they are in this problem and I have never had a student try to cancel them the way they are in this ‘solution’.
@Apaximatic_Play7 күн бұрын
подогнал под ответ, чертяка
@naakatube20 күн бұрын
Done it in 15 seconds in my head!
@charlesmrader23 күн бұрын
What does "Olympiad" mean? Shouldn't it be a hard problem? This was trivial. Since x! must be less than 10! and x must be an integer, you write x! = 10*9*8*7 = 2*5 * 3*3 * 2*2*2 * 7. Since a factorial is a product of consecutive integers starting with 2, use the 2 in 2*5, the three in 3*3, the 4 in 2*2*2 , the 5 in 2*5 and the 3 and 2 left over to make 6. We made the 2*3*4*5*6 from the 10*9*8.
@trueriver195023 күн бұрын
I think the point is to solve it quickly; taking as long as this video does is probably not the way to do it in an Olympics
@lechaiku21 күн бұрын
You don't need calculate anything. Just use a simple logic. x! = 10*9*8*7 so 7 is the prime number which must be one of factors of x! and it must be the biggest factor. That's it.
@henryptung21 күн бұрын
@@trueriver1950 For some context, the USA Math Olympiad gives you 6 questions, split over 2 days - because you get 4.5 hours per 3 questions. Those interested in the caliber of those questions can look up the problems themselves, each year's contest is there - and no, this would not make the bar. Not even sure it'd make it to AMC 8 (the entry-level competition for middle-school).
@mtaur411321 күн бұрын
@@lechaikuHere you are trusting the question writer. You are also using intuition and/or something you didn't bother writing out to conclude that 8! is too big. If you trust the question writer, don't have to fully justify your work (or only need the answer), and have severely limited time, you could get the answer rapidly from what you say. I'm not a huge fan of "trust the question writer" speed demon problems FWIW but if that's the game you just have to play along.
@mtaur411321 күн бұрын
If the numerator were 16!, the biggest prime factor is 13, but the answer probably isn't 13 and the answer probably isn't a whole number. The existence of an answer then likely hinges on whether you interpret an implied gamma function.