# This will blow your mind

The number of possible deals of 52 cards is ....

80658175170943878571660636856403766975289505440883277824000000000000

This is called 52 factorial or 52 shreik. So just how big is this number?

Set a timer to 20 seconds ,pickyour favourite spot on the equator at start the clock. You're going to walk around the world along the equator, but take a very leisurely pace of one step every billion years. The equatorial circumference of the Earth is 40,075,017 meters. Make sure to pack a deck of playing cards, so you can get in a few trillion hands of solitaire between steps. After you complete your round the world trip, remove one drop of water from the Pacific Ocean. Now do the same thing again: walk around the world at one billion years per step, removing one drop of water from the Pacific Ocean each time you circle the globe. The Pacific Ocean contains 707.6 million cubic kilometers of water. Continue until the ocean is empty. When it is, take one sheet of paper and place it flat on the ground. Now, fill the ocean back up and start the entire process all over again, adding a sheet of paper to the stack each time you’ve emptied the ocean.

Do this until the stack of paper reaches from the Earth to the Sun. Take a glance at the timer, you will see that the three left-most digits haven’t even changed. You still have 8.063e67 more seconds to go. 1 Astronomical Unit, the distance from the Earth to the Sun, is defined as 149,597,870.691 kilometers. So, take the stack of papers down and do it all over again. One thousand times more. Unfortunately, that still won’t do it. There are still more than 5.385e67 seconds remaining. You’re just about a third of the way done.

## Comments

Imagine there is one unique combination that has never been dealt left. All of the other 80658175170943878571660636856403766975289505440883277824000000000000 minus one possibilities have been dealt. You randomly shuffle the deck and deal. What are your odds now of dealing a duplicate versus the one unique possibility left ;)