Remarkable. Even if he had instantly closed his eyes and put his head in his hand to process this, it would have been impressive to get there in such a short time, but he was actually conferring with his team-mates, meaning he was going through the rows in his head while discussing. Hats off...
@@gnampwhat a miserly response. No doubt you will now regale us with your (unverifiable and therefore worthless) maths genius and all round superhero gifted spoils 🥱
Here is the easiest calculation method I know of: start with 1 (to get 1) divide by 1, multiply by 6 (to get 6) divide by 2, multiply by 5 (to get 15) divide by 3, multiply by 4 (to get 20). At every step, the number you divide by increases by 1, whilst the multiplier decreases by 1. You continue as long as you are dividing by a smaller number than you are multiplying by. You then reverse the sequence to get the remaining numbers (in this case, to get 15, 6, 1). Hence the answer is 1, 6, 15, 20, 15, 6, 1. This method works for any row; for example, for the subsequent row, simply multiply by 7 (instead of 6).
Pascal's triangle is basically just a geometric representation of something called 'The choose function'. Basically, you have 5 apples, and you want to know how many unique ways there are to choose 3 apples, you look on the 5th row of Pascal's triangle, and then look at the 3rd number along. There's a mathematical formula for it, but there's no point trying to explain it in a CZcams comment, so Google it if you want, but another way of writing that apple scenario would be 5n3, the answer to which is 10, so there are 10 ways to choose 3 things from a group of 5
It's about the coefficients of the developement of : ( a + b ) ^ n . For example : ( a + b ) ^2 = a^2 + 2ab + b^2 => 1,2,1 . Here the question concerns ( a + b ) ^ 6 => 1,6,15,20,15,6,1 ...
I was as amazed as everyone else at his answer, but the answer to the third question was the Fibonacci Sequence, which I got and they didn't! Made me feel like a right nerd.
Lol...shouldn't feel a nerd..my wife and I compete to get most answers correct in a show...usually a one answer win...in that we usually get one correct per show between us...
Any old school betting shop manager would reel off Pascal's triangle with ease. It gives the amount of doubles, trebles, 4-folds etc for any amount of selections. His answer was the number of bets in a Lucky 63.
Sums my 69 years up.Went to a prestigious Grammar School.Good academic qualifications. Done , reasonably, well but can I or have I ever, changed a plug,a modern lightbulb or car tyre after 44 successful driving??? Nah.....:)
Me too. Looking back, I've never had to use any of what we were taught in maths. Other than the multiplication tables which we were taught in Junior school. I've never had to use Algebra, long division and multiplication. etc...
When doing a binomial expansion, e.g. (x+y)^n, the coefficients of the terms of the result are the nth row of pascals triangle. Anyone who does a lot of maths (especially combinatorics) will have a great deal of it memorised, so it's very unlikely he's actually calculating it on the fly.
With maths I've never understood why that kind of question seems important and why the answer seems even more important. How does it help with problems of today? Enlighten me if you can
In this context it's just a maths quiz. As with most higher mathematical problems, it's an abstraction, by itself it's not important other than just a mental exercise, but eventually people always find uses for it. Mathematics provides tools for solving problems, we just may not know what the problem itsolves is yet, but there is bound to be one because the universe runs on numbers. Modern quantum theory, and by extension electronics engineering and the computer or smartphone you're using right now, was made possible by things like calculus and matrix algebra, which were developed centuries earlier and at the time weren't really used for much of anything.
60 years ago I was being taught algebra in school. Now, 60 years later, I can reveal that I have NEVER needed it, not once in all that time. So why did they bother?
Have you seen the latest UC setup? Everything looks like it’s woken .. from off the back of an IKEA removal van .. including the little chap in the High Chair .. I can’t watch this last & sad version.
Many years ago on Uni Challenge Paxman asked a team (something along the lines of) 'What is the name of the ground where Glasgow Celtic play ?' The team answered 'Celtic Park' which is correct - but Paxman said the team were wrong and that the answer is 'Parkhead' and so the team did not get the points. Paxman was simply wrong. Parkhead is the name of the district within Glasgow where Celtic play.
william weir I constantly get questions about pasquals triangle and find the knowledge very useful. I graduated from Oxford with a degree in sarcasm.. 😎
Pascal's triangle is sort of the Swiss Army knife of mathematics. The way the numbers are arranged allows you to find all sorts of other numbers: You can use it to find the Fibonacci numbers (useful in computer algorithms and also shows up in how trees branch), powers of 2 and 11, and perfect squares. It also has applications in fractals and combinatorial math. medium.com/i-math/top-10-secrets-of-pascals-triangle-6012ba9c5e23 has more info, as well as how to construct one.
TheRenaissanceman65 . Sorry I'm dyslexic I'm sure you're very clever but unfortunately I'm dyslexic I should have a degree in interior design that moved mediaeval history sorry I still don't know what pascals triangle actually means and what exactly does it mean today and also does it affect the price of a loaf
The secret ingredient of UC is that the competing students fill in forms that identify their fields of study and main interests several weeks before recording their episode so the producers can set questions that as often as not are relevant to the studies of one or more of the competing individuals . That’s why you and I can hardly ever answer questions that appear easy to the panels !
As a self taught mathematician I tried to work it out myself and while I was 70% sure I was correct there's alweays that 40% chance that you have got it wrong
While in no means unimpressive, people with experience with permutations and combinations would think of the seventh row of the Pascal's triangle as 6c0, 6c1, 6c2, 6c3, 6c2, 6c1 and 6c0. So, 1, 6, 15, 20, 15, 6, 1.
Either he's rainman or he works on some kind of problems where he's looking at pascals triangle pretty often and he knows most the rows by heart. I sort of hope its the former, as that is much cooler.
That's numberwang!
LOL!!!
Great taste in comedy, Uttam :D
Haha very clever
Das ist nummervang!
There's no ''a'' in it.
Remarkable. Even if he had instantly closed his eyes and put his head in his hand to process this, it would have been impressive to get there in such a short time, but he was actually conferring with his team-mates, meaning he was going through the rows in his head while discussing. Hats off...
It was still just an educated guess.
@@gnampwhat a miserly response. No doubt you will now regale us with your (unverifiable and therefore worthless) maths genius and all round superhero gifted spoils 🥱
@@gnampI wouldn't say being 100% accurate was guessing
@@user-po2qb6cm9q that's not how guessing works, I'm afraid.
@@user-po2qb6cm9qI’m not saying I agree with the educated guess comment, but any correct guess is 100% accurate whilst still being a guess.
COME ON LET'S HAVE IT PLEASE
Thinks he's Delia Smith at Norwich. (._.)
She got Carrow Road confused with Letsby Avenue
Funniest thing ever hahaha
prick ain't he?
colin glen nah university challenge is for the elite intellectuals, if your time wasting for even a moment you shouldn't be there
Those gasps were SO loud, they burst my eardrums and now I'M DEAF.
At least you can still read subtitles
WHAT?
Absolutel! I'm glad they gave us a written warning in advance. I'm still recovering. 😂
🤣Brilliant
it is sarcasm @@Chris22967
This is seriously impressive.
I can only just spell tryangel 🤷♂️
Edit: Tryangull 👍
😂😂😂
I can only play one!
Brilliant 🤣
😂😂😂
You spelled it wrong
NUMBERWANG!
hahaha
That's Numberwang!
Toby Wood This comment is funnier than every Numberwang skit put together.
Toby..you might have h
Toby Wood that was super , Hans !
Here is the easiest calculation method I know of:
start with 1 (to get 1)
divide by 1, multiply by 6 (to get 6)
divide by 2, multiply by 5 (to get 15)
divide by 3, multiply by 4 (to get 20).
At every step, the number you divide by increases by 1, whilst the multiplier decreases by 1.
You continue as long as you are dividing by a smaller number than you are multiplying by.
You then reverse the sequence to get the remaining numbers (in this case, to get 15, 6, 1).
Hence the answer is 1, 6, 15, 20, 15, 6, 1.
This method works for any row; for example, for the subsequent row, simply multiply by 7 (instead of 6).
Of course! You took the words right of my mouth 😅
That's easy?! 😳
@@carnbyarst670 It is way easier than any of the calculation methods I have read in this comments section.
@@mysteryman480 I think I must have Dyscalculia, my brain goes into meltdown when presented with too many numbers...
@@fossseseptique - 😆😂🤣👏🏻👏🏻👏🏻
He took his bloody time!!!
YelpBullhorn - that made me laugh out loud, very witty indeed!
😆😆😆😆😆😆😆
😄
I didn't understand the question never mind the answer!
Christopher Palmer That happens all the time for me on this program. Conversely sometimes I can answer things they don't know.
Christopher Palmer
I'm with you on that !
Pascal's triangle is basically just a geometric representation of something called 'The choose function'.
Basically, you have 5 apples, and you want to know how many unique ways there are to choose 3 apples, you look on the 5th row of Pascal's triangle, and then look at the 3rd number along.
There's a mathematical formula for it, but there's no point trying to explain it in a CZcams comment, so Google it if you want, but another way of writing that apple scenario would be 5n3, the answer to which is 10, so there are 10 ways to choose 3 things from a group of 5
It's about the coefficients of the developement of : ( a + b ) ^ n . For example : ( a + b ) ^2 = a^2 + 2ab + b^2 => 1,2,1 . Here the question concerns ( a + b ) ^ 6 => 1,6,15,20,15,6,1 ...
VITA kyo that just makes it worse x
“What is your favorite color? Blue….no, wait!”
of course it is...anyone knows that!
I was as amazed as everyone else at his answer, but the answer to the third question was the Fibonacci Sequence, which I got and they didn't! Made me feel like a right nerd.
I genuinely can't believe they didn't get through 3rd question... disappointing really
Lol...shouldn't feel a nerd..my wife and I compete to get most answers correct in a show...usually a one answer win...in that we usually get one correct per show between us...
well done
Fibonacci was on the UK secondary school syllabus; the only Pascal I knew of at school was one half of Johnny Jungle
Any old school betting shop manager would reel off Pascal's triangle with ease. It gives the amount of doubles, trebles, 4-folds etc for any amount of selections. His answer was the number of bets in a Lucky 63.
Just saw your reply - said a similar thing myself - although I couldn't remember the name of a heinz with the singles - lucky 63 - ta for that
yes the sign of a punter
@@qed456
So what we're saying is he may be a maths genius, but it's more likely he's a gambling addict?
That's still impressive!
Bit slow but got there in the end.
that wasn't a gasp, let alone the audience gasping, that was the guy in the grey suit, exhaling/laughing in astonishment.
@RaniaIsAwesome The guy in the grey suit is not the audience, unless they've changed the meaning of the word audience.
@@CA-ee1etthat wasn't a grey suit, that's black, unless they've changed the meaning of the word grey.
@@RenaissanceEarCandy this is an unnecessary comment. unles theyve changed the meaning of the words this, is, unnecessary and comment.
The guy on his team clearly gasped. As whoever responded to your initial comment said, you literally described what a gasp is.
@@Gallo_1.6 "unles theyve" is too low a standard of grammar for University Challenge clips, unless theyahfuckit.
I feel good about myself if I can fully understand the question, never mind start formulating an answer!
Of course. I forgot to carry the one... and the rest of the answer.
I remember watching that. That was amazing knowledge.
Very impressive but less about knowledge and more about being able to work things out from first principles...
Hapaxlegomenlemon
Alexander the Great 😂😂😂Mentally challenged! If you liked that, check out my version on my channel i made an edit to this show.
Paxman: 'What's the seventh row of Pascal's triangle?'
Me: 'It's a ring toss game'
Knowing the intricacies of Pascals triangle are all well and good, but will it keep the house clean?
Sums my 69 years up.Went to a prestigious Grammar School.Good academic qualifications. Done , reasonably, well but can I or have I ever, changed a plug,a modern lightbulb or car tyre after 44 successful driving??? Nah.....:)
Took the answer right out my mouth!!
I didn’t even need him to finish the question. 😬
The guy is amazing, but it’s the woman who gets a spot in the thumbnail.
That's how you get the clicks.
I love how he just starts right on the second question
A question so unreasonably difficult that when someone answers correctly there's a gasp
I did advanced Maths (only 1 year early) and won the college Physics prize a forced labour camp in … 19 and … 84
I did that quicker. I never realised how smart I must be. Thanks UC
I was so shit at maths at school, I couldnt even find the classroom number.
Me too. Looking back, I've never had to use any of what we were taught in maths. Other than the multiplication
tables which we were taught in Junior school. I've never had to use Algebra, long division and multiplication.
etc...
My man gave him 6 seconds to answer COME ON LETS HAVE IT PLEASE! Yeah mate because you knew it didn’t ya 😂
I didn't even know Pascal played the triangle!
I don't even know who Pascal is or was.
Quite straight forward if you have taught A level maths as long as I have. I can remember this but cant remember names for the life of me!!
Hi Peter
When doing a binomial expansion, e.g. (x+y)^n, the coefficients of the terms of the result are the nth row of pascals triangle. Anyone who does a lot of maths (especially combinatorics) will have a great deal of it memorised, so it's very unlikely he's actually calculating it on the fly.
If he's done much maths he'd know it by heart anyway.
Durr! Like we don’t all know that.
@@annoyingbstard9407 Exactly.Like teach us something new Daddy-O:(
Got to give Lowery full credit for going on TV with that haircut.
Couldn't help noticing the Jim Carey "So there's a chance" gif sitting to his right. 🤣
OK Bambi, let's have another!
This guy has A Beautiful Mind lol
And there was me ready to laugh, until I realised I dont even understand the Q....hmmmmm 😅😂
I was waiting for the gasp but then the video was over. I feel violated.
I was never taught stuff like that in school I can’t even speak proper English like what they do😂
Wow. This is why all should go to university.
With maths I've never understood why that kind of question seems important and why the answer seems even more important. How does it help with problems of today? Enlighten me if you can
In this context it's just a maths quiz.
As with most higher mathematical problems, it's an abstraction, by itself it's not important other than just a mental exercise, but eventually people always find uses for it. Mathematics provides tools for solving problems, we just may not know what the problem itsolves is yet, but there is bound to be one because the universe runs on numbers.
Modern quantum theory, and by extension electronics engineering and the computer or smartphone you're using right now, was made possible by things like calculus and matrix algebra, which were developed centuries earlier and at the time weren't really used for much of anything.
60 years ago I was being taught algebra in school. Now, 60 years later, I can reveal that I have NEVER needed it, not once in all that time. So why did they bother?
Have you seen the latest UC setup? Everything looks like it’s woken .. from off the back of an IKEA removal van .. including the little chap in the High Chair .. I can’t watch this last & sad version.
What about the constipated mathematician. He worked it out with a pencil. - On a serious note, that quick answer was phenomenal. 😋
ha
you stole that from numberphile
ha
Alternative solution - he worked it out with logs.
Normal bloke has the answer
Attractive girl without the answer gets the thumbnail
Welcome to social media!
Why I'm I looking at the woman if she has Notting to do with it
I clicked on the video thinking that the answer was something offensive. Instead I'm left amazed and inspired.
What you talkin' about, Willis!?!
Paxman loves sounding smug while the answers are written in front of him on the card.
Many years ago on Uni Challenge Paxman asked a team (something along the lines of) 'What is the name of the ground where Glasgow Celtic play ?' The team answered 'Celtic Park' which is correct - but Paxman said the team were wrong and that the answer is 'Parkhead' and so the team did not get the points. Paxman was simply wrong. Parkhead is the name of the district within Glasgow where Celtic play.
That was wrong the answer was Toxteth O'grady.
I can count up to potato
william weir
I constantly get questions about pasquals triangle and find the knowledge very useful.
I graduated from Oxford with a degree in sarcasm.. 😎
"I can count up to potato"
Well done, Mr President.
What was the question again?
He is definitely the geek of the week
What’s a triangle?
But it is the 6th row surely if the first row is 0th row as it should be in Maths?
Where did that come from
Sometimes I mix up the digits of my own phone number, and these people are out there folding damn space/time in their heads.
I didn't even understand the question ! So impressed very .....
Don’t you hate it when you’re about to say the answer and someone else says it first? That’s what happened to me watching this.
I though the answer was 7 7 because he said the 7th line 😂😂😂
That was one hell of a guess.
Why did it take him so long to answer?
Bazza he was trying to work it out but got rushed by Paxman so just said one of the rows of Pascal’s Triangle
Sorry to show my ignorance everybody but what is pascals triangle and what uses it from somebody who is severely dyslexic
Ur'a aunokw, nlb.
Pascal's triangle is sort of the Swiss Army knife of mathematics. The way the numbers are arranged allows you to find all sorts of other numbers: You can use it to find the Fibonacci numbers (useful in computer algorithms and also shows up in how trees branch), powers of 2 and 11, and perfect squares. It also has applications in fractals and combinatorial math.
medium.com/i-math/top-10-secrets-of-pascals-triangle-6012ba9c5e23 has more info, as well as how to construct one.
TheRenaissanceman65 . Sorry I'm dyslexic I'm sure you're very clever but unfortunately I'm dyslexic I should have a degree in interior design that moved mediaeval history sorry I still don't know what pascals triangle actually means and what exactly does it mean today and also does it affect the price of a loaf
"what happened I blacked out"
When in doubt, just say "Paris."
Watch/listen again. That was the guy beside him gasping. The audience applauded (and someone hooted).
Saw that live - gobsmacking job mate :)
I was litureally about to say that before he did!
At 0.24 "Oh my God I love you so much"
1 1 is actually Pascal's first line, not his second line. So his 7th line would be 1 7 21 35 35 21 7 1.
I'll get my coat 🙄🤣
I've never seen a Pascal's triangle depicted like that. Even Pascal himself used the triangle with "1" being the first line
Impressive but it's a thing some people memorise, like learning Pi to 20 decimal places. He didn't sit there and work it out.
I answered that question at my pub quiz the other night
The secret ingredient of UC is that the competing students fill in forms that identify their fields of study and main interests several weeks before recording their episode so the producers can set questions that as often as not are relevant to the studies of one or more of the competing individuals . That’s why you and I can hardly ever answer questions that appear easy to the panels !
Is it Venezuela?
I've stopped trying to guess the answer... now i guess who is going to answer
Wow, me no clue, you genius.
I watched it three times don't know what numbers he said or what he's on about
That's impressive, but did you know that Bruce Lee had a brother who was a strict vegetarian, and his name was Brocco - " Just sayin " 🤔🤣🤣🤣🤣
He's obviously Illuminati.
Why is the thumbnail the pretty girl next to to the guy that answered, I wonder?
What the genius phook.
As a self taught mathematician I tried to work it out myself and while I was 70% sure I was correct there's alweays that 40% chance that you have got it wrong
Why did it take him so long to answer it?
I once knew a girl that went by the name of Pascal, and the things I could tell you about her triangle.
Wot's a triangle ?
0:23 You can see the exact moment that woman fell in love. She looked like she wanted to marry him right on stage.
I have quite a few number passwords in my head longer than that so I fail to see the incredible....
Wait, what?
Me dumb. Me dumb as hell.
This guy must be like Neo from the Matrix - he just sees the world in numbers. Very impressive.
While in no means unimpressive, people with experience with permutations and combinations would think of the seventh row of the Pascal's triangle as 6c0, 6c1, 6c2, 6c3, 6c2, 6c1 and 6c0. So, 1, 6, 15, 20, 15, 6, 1.
😴😴
It was how quickly he worked it out for me. If only I had 10% of his intelligence, my life would be a lot different.
Help ! I don't even understand the question
Frankly, I amazed he took so long to answer
I'm a bit obtuse when it comes to triangles!
Paxman - what a grumpy git "Let's have it!"
I could answer this question, it just took me a bit longer than it did the contestants.
I'm happy if I answer 1 question correctly per programme. I feel especially smug if they don't answer the same question correctly.
He's guessed it, from those clues!
Rainman would've got it before Paxman had finished asking the question 😁
And then farted in the phone box.
And then tried to eat his shoelaces
Either he's rainman or he works on some kind of problems where he's looking at pascals triangle pretty often and he knows most the rows by heart. I sort of hope its the former, as that is much cooler.