Crazy Permutations, blew my mind! *splat*

sebastianlieken

I just thought this was astounding:

If you take a simple 52 card deck, there are 52! different permutations of arranging that deck. (that's 80658175170943900000000000000000000000000000000000000000000000000000)

that means that there are more ways of arranging a simple deck of cards than there are atoms in the human body.

More so, there are more ways of arranging a simple deck of cards than there are atoms which make up all of planet earth.

If you want to get an idea of equivilancy, you have to count up the atoms in our entire solar system (the sun, all the planets and the moons), in fact you need just over 67 billion of our solar systems! Only then do you have nearly the same number of atoms as there are combinations of arranging a humble deck of cards.

your useless fact of the day


reference: http://www.madsci.org/posts/archives...2124.Ph.r.html

pcnoobie

haha you said Permutations

FatherLen

i get the same thing from IPv6.

xxxx:xxxx:xxxx:xxxx:xxxx:xxxx:xxxx:xxxx

where each 'x' represents a hexadecimal number(0,1,2,3,4,5,6,7,8,9,a,b,c,d,e,f) which is of a base of 16.

this can generate a stupid amount of ip addresses.

smash

https://www.youtube.com/watch?v=d3ic9sOcU7s

squod

Lay off the stuff for a while .

neil_hosey

didnt read the full post

opinion guy

FatherLen wrote: »

i get the same thing from IPv6.

xxxx:xxxx:xxxx:xxxx:xxxx:xxxx:xxxx:xxxx

where each 'x' represents a hexadecimal number(0,1,2,3,4,5,6,7,8,9,a,b,c,d,e,f) which is of a base of 16.

this can generate a stupid amount of ip addresses.

Ha! Give it twenty years and they'll be asking why they didn't make it IPv8 :pac:

Bipolar Joe

Someone's been watching QI.

FatherLen

opinion guy wrote: »

Ha! Give it twenty years and they'll be asking why they didn't make it IPv8 :pac:

i don't know my maths might be wrong but i think it makes about 45000000000000000000000000000 ip addresses for every person on the planet. probabaly more.

Valetta

sebastianlieken wrote: »

If you take a simple 52 card deck, there are 52! different permutations of arranging that deck. (that's 80658175170943900000000000000000000000000000000000000000000000000000)

You can double that figure if you turn them over.

FanadMan

Bipolar Joe wrote: »

Someone's been watching QI.

Was thinking the exact same thing when I saw the message preview.



QI - the source of all brilliant stuff in the universe

https://www.youtube.com/watch?v=HY-03vYYAjA

Gee. Thanks.

Capt'n Midnight

https://en.wikipedia.org/wiki/Go_and_mathematics

Number of positions. 2.08168199382×10^170 ( 171 digit number)

Maximum number of possible games -Multiply ten by itself 171 times and that's how many zeros you need :eek:

B_Fanatic

Valetta wrote: »

You can double that figure if you turn them over.

The figure would be a LOT more than double. I'll see if I can work it out/get someone to work it out. (It's also much more complicated too :P)

Edit: If you could use the reverse side of just one card there would be 53 times more possible arrangements. Unfortunately it is sort of non-linear (i.e. you can't just say "104 P 52 = x") because when >2 cards are side by side upside down they are treated as a combination and not a permutation... I think. It's been almost two years since I did any of that stuff now.

Okay, someone suggested (2^52)(52!) when I asked and it seems right (or close at least) to me. That's 4.504 x 10^15 times more permutations than the original amount... Certainly more than double! (Using backs of cards: 3.27 x 10^83 as opposed to 8.066 x 10^67)

dango

In video form: http://www.youtube.com/watch?v=KZkLi7jQPbc

IrishGrimReaper

Also, if you square 3x42/2.3 and add 40 you get potato.