Maths Puzzle: CoinsYouTube↗  IA↗(long shot)
Education  48.2K views 338 likes 8 dislikes   31 Jan 2011
singingbanana 228K subscribers United Kingdom YouTube↗


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Dutch Angela Flierman
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Hello, everyone!
Hallo allemaal!
It's been a long time,
Het is een tijd geleden,
but I'm back today with a quick coin puzzle for you.
maar vandaag ben ik terug met een korte munten puzzel voor je.
Although instead of coins,
Hoewel ik in plaats van munten
I'm going to be using Othello pieces,
Othello stukken zal gebruiken,
because I thought they might be more visual on the video.
want ik dacht dat die wat meer zichtbaar zouden zijn in de video.
So instead of heads and tails,
Dus in plaats van kop en munt,
we're going to have white and black.
hebben we wit en zwart.
Kind of like the difference between
ongeveer net als het verschil tussen
my shirt
mijn overhemd
and my complexion.
en mijn gelaatskleur.
So we're going to be taking some coins,
Ds we nemen een aantal munten,
We're going to take them into our hand,
we nemen ze in de hand,
we're going to shake them up,
en we schudden ze,
and we're going to lay them out onto a table, like this.
en we spreiden ze zo uit over de tafel.
And what do we have here? We've got 11 coins,
En wat hebben we hier? We hebben 11 munten,
and we've got 1, 2, 3, 4, 5 white faces,
en we hebben 1, 2, 3, 4, 5 witte zijden,
the rest of them are black.
en de rest is zwart.
And the question is this:
En de vraag is dit:
Can we separate this pile
Kunnen we dit hoopje scheiden
into two piles
in twee hoopjes
such that we've got
zodat we
the same number of white faces
hetzelfde aantal witte stukken
in each pile?
in elk hoopje hebben?
And can we do this
En kunnen we dit
with our eyes shut?
met onze ogen dicht?
Now, the two piles can be different sizes,
De twee hoopjes kunnen van verschillende groottes zijn,
especially if you've got an odd number of coins.
zeker als je een oneven aantal munten hebt.
And you can move the pieces as much as you want,
En je kunt de stukken zoveel verschuiven als je wilt,
and you can flip the pieces if you want.
en je kunt de stukken omdraaien als je dat wilt.
But the question remains--
Maar de vraag blijft--
can I separate the pile
kan ik het hoopje verdelen
into two piles
in twee hoopjes
so that I have the same number of whites, or heads,
zodat ik hetzelfde aantal witte stukken, of koppen heb
in each pile? And can I do it blindfolded?
in ieder hoopje? En kan ik dat geblinddoekt?
Now, I'll be back in a couple of days
Ik kom over een paar dagen terug
with the answer to this.
met het antwoord hierop.
And until then,
En tot die tijd,
I'll see you next time.
ik zie je de volgende keer.
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