After thoroughly shuffling, the exact order of the deck is one of 52! (52 factorial, or 52 * 51 * 50 * … * 2 * 1) possible combinations. That is such a large number that it’s possible, even likely, that the exact ordering of your deck has never existed before and will never exist again.
After thoroughly shuffling, the exact order of the deck is one of 52! (52 factorial, or 52 * 51 * 50 * … * 2 * 1) possible combinations. That is such a large number that it’s possible, even likely, that the exact ordering of your deck has never existed before and will never exist again.
True, but due to the Birthday Paradox, the chance of any two people shuffling a deck the same way at some point is a lot higher than you might think.
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In the future you can denote your factorial with
51!through single inline backticks for clairity!