I understand the math behind it, I just can’t wrap my head around the fact that something so common and limited like a deck of cards can have more ways to be arranged than something so massive like the earth with all its oceans and mountains has atoms.
In my mind it would make more sense that even a little pond has more atoms than there are deck arrangements.
Could it be due to the fact that atoms have a lot of empty space in them?
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How much information does it take to to pick any specific atom on Earth? You just say “I choose atom #7089896719367543239300239183376473481657021774306” and that’s it.
How much information does it take to pick a specific ordering of a deck of cards? You need to say “♠3 ♠5 ♦Q ♠9 ♠4 ♥10 ♠A ♦9 ♣4 ♥Q ♦K ♦7 ♣J ♣2 ♥7 ♣8 ♦2 ♥A ♣6 ♦3 ♠8 ♣5 ♣9 ♣Q ♣3 ♥6 ♥J ♣7 ♥8 ♠7 ♥4 ♣10 ♠2 ♥2 ♥K ♦6 ♦8 ♠J ♠6 ♦10 ♠10 ♦4 ♦J ♥5 ♦5 ♠Q ♥3 ♣A ♦A ♠K ♥9 ♣K”, and that requires more information than the above.
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