Game-Card Shuffle vs Earths Molecule

Let's see the game between card shuffle vs earths molecule

The number of card shuffles are higher then the number of molecules of the earth. Are you kidding me???

We all know how difficult it is to calculate with such a large number of molecules. At first glance, it may seem strange. But it is surprising to hear, but the facts are true Yes, you just heard that the number of shuffles will be higher. Let's make it as simple as possible. Don't be afraid. This is actually a very simple calculation.

Let's talk about cards first. There are 52 cards in total (Joker excluded). Now if the cards need to be shuffled, how can we do that? Well, I did not say before what shuffle means! Shuffle means to exchange in simple word. In this case at first none of the cards such as the Queen of Diamonds were held as fixed. Then there are 51 cards left. We can sort these 51 cards in 51! (factorial) ways. So, we have a total of 52 cards and can be sorted in 52! (Factorial)  ways. I can sort it out. What is its value?

52*51*50* ………….. *1 =  8*10^67 approx.

Then the matter of card is clear.

Now let's talk about the world. Here we will only talk about the world. Let's send all the cars, buildings, people, animals, birds to the museum for now. It is not possible to calculate these. Now let's get to the basics. We know that the weight of the earth is about 8 * 10 ^ 26 grams 8 At the same time, the earth is made up of about 32% iron, 30% oxygen, 15% magnesium, 13.9% sulfur, 3% nickel, 2% calcium, 2% aluminum. (Ignoring the atmosphere), there are many more elements but their amount is only 1%. So they were not counted.

So, now we have,

1.96*10^27 grams of iron

1.86*10^27 grams of oxygen

9*10^26 grams of magnesium

8.3*10^26 grams of sulfur

1.8*10^25 grams nickel

1.25*10^25 grams of calcium

8.4*10^24 grams of aluminum

Now that we know the atomic mass of each, we can easily find out the atomic number of the earth.

1 mole of each :

Iron = 55.8 grams

Oxygen = 16 grams

Magnesium = 24.3 grams

Sulfur = 32.1 grams

Nickel = 58.7 grams

Calcium = 40.1 grams

Aluminum = 27 grams

So now if we divide the number of elements by the atomic mass of their village, we get the number of their elements.

Number of moles:

Iron: 3.4*10^25

Oxygen: 1.1*10^26

Magnesium: 3.7*10^25

Sulfur: 2.6*10^25

Nickel: 3.1*10^24

Calcium: 3*10^24

Aluminum: 3.1*10^24

Now by adding all of them we get about 2.16*10^26 moles

Multiply this number by 6.23*10^23 to get 1.3*10^50 atoms.

As far as I know it is not bigger than 8*10^67. So, the way to shuffle a card would be more than the total number of atoms on Earth.

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