How many orders in a 52 card deck?

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 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.

How many orderings are there for a deck of 52 cards if all the cards of the same suit are together?

ways to order the cards. Thus the total number of ways ordering a deck of cards with each suits together is 4!

How big a number is 52 factorial?

52! is approximately 8.0658e67. For an exact representation, view a factorial table or try a "new-school" calculator, one that understands long integers. A billion years currently equals 3.155692608e16 seconds; however, the addition of leap seconds due to the deceleration of Earth's orbit introduces some variation.

Are there more ways to shuffle a deck of cards than atoms on Earth?

There are roughly eight-hundred-quadrillion times more ways to shuffle a deck of cards than atoms on Earth.

Combinations of 52 cards (52 factorial)

Are there 52 atoms in the universe?

There are between 10⁷⁸ to 10⁸²atoms in the observable universe. That's between ten quadrillion vigintillion and one-hundred thousand quadrillion vigintillion atoms.

What is a fun fact about 52?

Fifty-two is

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. a vertically symmetrical number.

Why is 52 factorial so special?

The number of possible ways to order a pack of 52 cards is '52! ' (“52 factorial”) which means multiplying 52 by 51 by 50… all the way down to 1. The number you get at the end is 8×10^67 (8 with 67 '0's after it), essentially meaning that a randomly shuffled deck has never been seen before and will never be seen again.

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.

What are the odds of shuffling the same deck?

The odds of shuffling a standard 52-card deck in the same order twice is one in 80 unvigintillion.

How many shuffles in a deck of cards?

In 1992, Bayer and Diaconis showed that after seven random riffle shuffles of a deck of 52 cards, every configuration is nearly equally likely. Shuffling more than this does not significantly increase the “randomness”; shuffle less than this and the deck is “far” from random.

Why do you shuffle cards 7 times?

By saying that the deck is completely mixed after seven shuffles, Dr. Diaconis and Dr. Bayer mean that every arrangement of the 52 cards is equally likely or that any card is as likely to be in one place as in another.

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.

Are there infinite ways to shuffle cards?

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.

Why is 69 factorial special?

On many handheld scientific and graphing calculators, the highest factorial that can be calculated, due to memory limitations, is 69! or about 1.711224524×10⁹⁸.

Why is 69 the highest factorial?

That is because 70! is more than 10^100 , which the calculator cannot display, and hence 69! is the max value ie, 69 is the largest integer for which a standard calculator displays the factorial value.

Why is 170 the highest factorial?

170 is the largest integer for which its factorial can be stored in IEEE 754 double-precision floating-point format. This is probably why it is also the largest factorial that Google's built-in calculator will calculate, returning the answer as 170! = 7.25741562 × 10³⁰⁶.

Does anything multiply to 52?

The factors of 52 are the numbers that are multiplied in pairs resulting in the original number. The factors of 52 are 1, 2, 4, 13, 26 and 52.

What is the coolest random fact?

What is the number 52 famous for?

What Does the Number 52 Mean? The number 52 numerology carries the vibrations of new beginnings, good fortune, and positive change. This number also symbolizes harmony, balance, and relationships. So, if you're seeing this number frequently, it's a sign that your angels are trying to tell you something!

What is only 4% of the universe?

From the Back Cover

In recent years, a handful of scientists has been racing to explain a disturbing aspect of our universe: only 4 percent of it consists of the matter that makes up you, me, and every star and planet. The rest is completely unknown.

What is only 5% of the universe?

It turns out that roughly 68% of the universe is dark energy. Dark matter makes up about 27%. The rest - everything on Earth, everything ever observed with all of our instruments, all normal matter - adds up to less than 5% of the universe.

Is space infinite?

Because space isn't curved they will never meet or drift away from each other. A flat universe could be infinite: imagine a 2D piece of paper that stretches out forever. But it could also be finite: imagine taking a piece of paper, making a cylinder and joining the ends to make a torus (doughnut) shape.