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There are 52 cards in each deck, meaning that the total possible combinations would equal 52! ( 52 factorial) which is equal to 8.06 e+ 67. This number is MASSIVE. So massive that I really doubt that many people would be able to wrap their heads around it without explanation.

TIL If you thoroughly shuffle a deck of playing cards, you’ll end up with a sequence which has (probably) never existed before. There are 8,000,000,000,000,000,000,000,000,000,000,000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000 different combinations.

If you were to shuffle a deck of 52 cards and lay them out the possible order combinations are practically endless. The total number of combinations is a factorial of 52, or 52!, which translates to 8.06 e+ 67, a number that means absolutely nothing to me.

52! is approximately 8.0658e67. For an exact representation, view a factorial table or try a “new-school” calculator, one that understands long integers.

No one has or likely ever will hold the exact same arrangement of 52 cards as you did during that game. It seems unbelievable, but there are somewhere in the range of 8×10 ^{67} ways to sort a deck of cards.

Here’s what I do with large decks of cards: Divide the large deck into several smaller piles. Select two piles at random and combine them using a hindu shuffle (unlike in the video, when I do it, I do it by grasping the wider-side rather than the narrower side of the cards for better control of larger decks.

As you say, there are approximately 8*10 ^{67} possible combinations of cards that can make up a deck. Shuffling 100 times a second, assuming you could never have repeats, gives you 8E65 seconds, or 3E58 years.

Asked by: Chris Nicolson, Isle of Skye If you truly randomise the deck, the chances of the cards ending up in perfect order – spades, then hearts, diamonds and clubs – are around 1 in 10 to the power 68 (or 1 followed by 68 zeros). That’s a huge number, roughly equal to the number of atoms in our galaxy.

In a perfect riffle shuffle, you cut the deck exactly two equal parts. Then you interlace the cards from the top stack with the cards from the bottom stack. The new deck ordering is TBTBTB, where T indicates a card from the top half of the original deck and B indicates a card from the bottom half.

; that is, 1 followed by 68 zeros. Describing 52!

From Wikipedia, the free encyclopedia. A perfect shuffle can refer to: A shuffling technique perfectly executed, most often meaning “divide cards into two equal piles of 26 cards each, and exactly interleave”.

So, there are 26 black cards (clubs + spades) in a standard deck of 52 cards.

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