The Best 0,1,2,3,4,5,6,7,8,9 Combinations #shorts

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There's not much to simple combinations with no replacement... if we take the 10 digits from 0 to 9, we can arrange them nearly 4 MILLION ways by using 10!. When we take the subset of squared digits that result in a unique combination of those 10 digits? Now we're down to just 87 numbers n, all of which contain 5 digits.

You could find them all by hand, calculating every squared whole number until you got a value larger than 10 digits (and don't forget, all of them need to be unique), but over 50 years ago the IBM 1620 used its 1,200+ pound frame to work it all out. Do it by hand. What else do you have to do?

#maths #shorts #mathematics
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Really thought he was gonna go for the “that’s about the same weight as your mom” at the end, narwhal will do though

cloudnetic
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My “science” teacher once denied narwhals being real

TheAsianOne
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Narwhals, Narwhals
Swimming in the ocean
Causing a commotion
'Cause they are so awesome

veertien
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Kevin: How does one human mind discern exactly the right amount of punishment?

Also Kevin: NARWHAL! NARWHAL!

MrPerfs
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*_Set up could have been such a good your mom joke..._*

CrisStan
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I'm a little unclear as to what "squaring another digit" means. I assume you mean "squaring a number"?

jacksonsay
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I can conjecture 2 things :
1) All such numbers are atleast divisible by 3
2) It won't contain a number that ends with 0

yashrawat
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10! ? NOPE, Numbers cannot start with 0 so it should be 10!-9! Which is 9*9! = 3, 265, 920

I expected better from you Kevin :(

zarporiko
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I’m always fascinated by your videos and lots of times blown away! BUT what is this even useful for?

ocashflo
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I think you missed the fact that you can't start the numer with 0, so the actual number of those number is 9! times 9 (you can only use 9 numbers for first digit)

So the actual number of combinations is 3265920

xMrKadik
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Are none of those 87 numbers 9 digits with a zero out in front?

leftylizard
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He shoulda made that more clear, and said only 87 are a perfect square

Jaden_Ivy
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Is this right? 10! Means the 0 could go first which it can't. Wouldn't it be 9 * 9! Since only 9 digits can come first and then you have 9 remaining? That's 3, 265, 920.

PaulsPubAndBrew
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Is a number like 0 bil 123 mil 456 tsnd 789 allowed?

BryndanMeyerholtTheRealDeal
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How did you get these colorful numbers?

jadenruanes
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Narwhals must be a lot smaller than I imagined them to

matman
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how is it a death match..? I'm confused.

YourSooFakeSauce
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Are there any that are the product of two 5-digit numbers that don't share any digits?

DragonslayerProd
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You can’t just say numbers for 60 seconds and call it entertainment

DanFarrell
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Wouldn't it be 9! Since numbers starting with zero are not written like that?

santiagoruiz
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