From 'Blackjack' To The Universe (Part 2)
Welcome back travellers! I hope you found the first installment as mind blowing as I did. (I'm not trying to big-up my ego there, I'm not fussed if you enjoyed the way I write, it's the content that completely blows me away!) Just to recap, I am trying to show why it is highly unlikely that any two randomly shuffled decks of 52 cards have ever been the same, even assuming humans could play with cards since the Big Bang! Wow! What a statement! In the last post , I showed how it's possible to count the number of ways of arranging n objects (this is called the number of ' permutations ' of n objects). Without going into too much detail, it works out that for n objects, there are n! permutations (where n! = n x (n-1) x (n-2) x (n-3) x ... x 3 x 2 x 1 ). This means that for a deck of 52 cards, there are 52! , or 8.07 x 10 67 permutations. This is a massive number, and is about equal to a tenth the number of atoms in the whole Milky Way! (This was my own ...