Have two decks of cards ever been in the same order?

No one has or likely ever will hold the exact same arrangement of 52 cards

52 cards

A standard 52-card French-suited deck comprises 13 ranks in each of the four suits: clubs (♣), diamonds ( ♦ ), hearts (♥) and spades (♠). Each suit includes three court cards (face cards), King, Queen and Jack, with reversible (double-headed) images.

https://en.wikipedia.org › wiki › Standard_52-card_deck

Standard 52-card deck - Wikipedia

as you did during that game. It seems unbelievable, but there are somewhere in the range of 8x10⁶⁷ ways to sort a deck of cards. That's an 8 followed by 67 zeros.

What are the odds of a deck of cards being in the same order?

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.

How many decks of cards have been shuffled?

So, it's safe to say that in human history, playing cards have been shuffled in less than 1.546X10²⁰ different orders.

What is a 52 shriek?

The number of possible permutations of 52 cards is '52 factorial' otherwise known as 52! or 52 shriek. This is 52 times 51 times 50 . . . all the way down to one. Here is what that looks like: 80,658,175,170,943,878,571,660,636,856 403,766,975,289,505,440,883,277,824,000,000,000,000.

Is every deck shuffle unique?

While it's possible that two packs of cards may have been shuffled into the same order, the odds of that having happened are actually tiny and yes, it's hugely likely that each properly shuffled deck is indeed a unique variation of those 52 cards.

Combinations of 52 cards (52 factorial)

What is the rarest card in a deck?

Is there a deck of cards never in the same order?

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 8x10⁶⁷ ways to sort a deck of cards. That's an 8 followed by 67 zeros.

How many zeros does 52 factorial have?

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

How long would it take to shuffle every order in a pack of cards?

Try 300 quintillion years. To find out how many individual orders you can get using all 52 cards, we need to work out 52! – remember, that's 52 factorial, not 52 in an excited voice. That comes to about 8 × 10⁶⁷, or to put it in words, 80 thousand vigintillion different shuffles.

Can you shuffle cards too much?

There's no such thing as "over-shuffling" the cards. Either you haven't shuffled enough for a fair game, or you have. Shuffling only two or three times produces less-than-random hands.

What is the perfect shuffle 8 times?

The Faro Shuffle is a perfect shuffle. When cut evenly at 26 cards and shuffled correctly eight times, the deck will return to its original order. Many aspiring magicians attempt to learn this shuffle by using a standard deck of Bicycle playing cards.

How many times is the perfect shuffle?

Jim Reeds at Bell Laboratories and showed that a deck is perfectly mixed if it is shuffled between 5 and 20 times. Next, Dr. Diaconis worked with Dr. Aldous and showed that it takes 5 to 12 shuffles to perfectly mix a deck.

Can you get a 1 in a deck of cards?

"1" cards are usually known as aces. "2" cards are also known as deuces.

Why is there no 1 in a deck of cards?

Because one is called the Ace. According to Wikipedia, the word Ace is derived from the Old French word “as” meaning unit. Ace - Wikipedia .

What is the fastest time to sort a deck of cards?

The fastest time to arrange a deck of playing cards is 35.20 seconds, and was achieved by Lim Kai Yi (Malaysia) in Cheras, Malaysia, on 30 September 2022. Lim is an avid speed solver and has won many speed solving competitions.

Why is 52 a special number?

Fifty-two is

a decagonal number. an untouchable number, since it is never the sum of proper divisors of any number, and it is a noncototient since it is not equal to x − φ(x) for any x.

How big is 100000 factorial?

Save this answer. Show activity on this post. Factorial of 100000 is a number with 456569 digits (so I can't print it here), and my solution takes 3.5 seconds, more or less. If that's not assumible for you, you must design a multi-thread based solution.

Has anyone shuffled the same deck twice?

The chances that anyone has ever shuffled a pack of cards (fairly) in the same way twice in the history of the world, or ever will again, are infinitesimally small. The number of possible ways to order a pack of 52 cards is '52!

Is there only one joker in a deck of cards?

There are usually two Jokers per deck, often noticeably different. For instance, the United States Playing Card Company (USPCC) prints their company's guarantee claim on only one.

Why are there fifty two cards in a deck?

The most common theory is that the 52 cards represent 52 weeks in a year. The four colors represent the four seasons. The 13 cards in a suit represent the thirteen weeks in each season, Four suits times 13 cards in a suite equals 52.

How big is 52 factorial story?

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

What is factorial 9999?

For example, even though the function could handle arguments greater than 9999, the factorial of 9999 equates to a 35656-digit number.

Why is 5 factorial 120?

The meaning of 5 factorial is that we need to multiply the numbers from 1 to 5. That means, 5! = 5 × 4 × 3 × 2 × 1 = 120.