Vsauce2 | The Best 0,1,2,3,4,5,6,7,8,9 Combinations #shorts @Vsauce2 | Uploaded 2 years ago | Updated 4 hours ago
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
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
