Deck of Cards and Planck Time?

In summary, there are more possible ways to rearrange a single deck of cards (52! = 8.066 x 10^67) than there have been Planck times (5.053 x 10^61) since the Universe began. This shows the vastness of possibilities in a deck of cards. Additionally, the age of the universe is comparable to the current population of Earth and will likely become equal in the next 100 years.
  • #1
nicholasfouss
1
0
Deck of Cards and Planck Time?

This is truly unbelievable. I've checked my work multiple times, gotten it checked by others, and still the same answer remains.

There are more ways to rearrange a single deck of cards than there have been Planck times since the Universe began.

Number of formations of a single deck of cards:
52! = 52 x 51 x 50 x 49 ... 3 x 2 x 1
52! [tex]\approx[/tex] 8.066 x 10[tex]^{}67[/tex]


Number of Planck times (tp) since the Universe began (assuming the Universe is approx. 16 billion years old, which is generous):
(1 x 10[tex]^{}44[/tex]) x (60) x (60) x (24) x (365.5) x (1.6 x 10[tex]^{}10[/tex]) [tex]\approx[/tex] 5.053 x 10[tex]^{}61[/tex]

(tp in a sec)(sec in min)(min in hr)(hr in day)(day in yr)(yr since singularity)


8.066 x 10[tex]^{}67[/tex] > 5.053 x 10[tex]^{}61[/tex]

Keep in mind, a Planck time is the time it takes for light (in a vacuum) to travel a Planck length (1.6 x 10[tex]^{}-35[/tex] metres.
 
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  • #2


Now, think about how many possible games (that is: entire games) of chess there are.
 
  • #3


Are you trying to make a point about something related to quantum physics?
or just stating the vastness of possibilities in a deck of cards?
 
  • #4


Another "unbelievable" fact:
The age of universe in years is of the same order of magnitude as the number of people on Earth. They will probably become equal in the next 100 years or so.
 

Related to Deck of Cards and Planck Time?

1. What is a Deck of Cards?

A deck of cards is a set of 52 playing cards, typically used for various card games and magic tricks. The deck is divided into four suits (clubs, diamonds, hearts, and spades) with 13 cards in each suit (Ace, 2-10, Jack, Queen, and King).

2. What is Planck Time?

Planck Time is a unit of time in the measurement system used in physics, named after German physicist Max Planck. It is defined as the time it takes for light to travel a distance of one Planck length in a vacuum, which is approximately 5.39 x 10^-44 seconds. It is the smallest unit of time that has any physical meaning.

3. How are a Deck of Cards and Planck Time related?

The connection between a deck of cards and Planck Time is that both involve the concept of discrete units. A deck of cards has a finite number of cards, while Planck Time is the smallest unit of time that can be measured. Additionally, both have been used in theoretical physics and mathematics to study randomness and probability.

4. Can a Deck of Cards and Planck Time be used to solve problems?

Yes, a deck of cards and Planck Time can be used to solve problems in various fields such as physics, mathematics, and computer science. For example, a deck of cards can be used to demonstrate probability and statistics, while Planck Time can be used in calculations related to quantum mechanics and the origins of the universe.

5. Are there any interesting facts about a Deck of Cards and Planck Time?

There are many interesting facts about a deck of cards and Planck Time. For instance, a standard deck of cards can be shuffled in over 80 trillion unique ways, and there are 52! (52 factorial) possible orderings of a deck. As for Planck Time, it is considered to be the smallest unit of time, but there are other proposed units of time that are even smaller, such as the chronon and the zeptosecond.

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