27-01-2019, 12:25 AM
One of my favorite is about the number of unique orders for cards in a standard 52 card deck.
I've seen a a really good explanation of how big 52! actually is.
Set a timer to count down 52! seconds (that's 8.0658x1067 seconds)
Stand on the equator, and take a step forward every billion years
When you've circled the earth once, take a drop of water from the Pacific Ocean, and keep going
When the Pacific Ocean is empty, lay a sheet of paper down, refill the ocean and carry on.
When your stack of paper reaches the sun, take a look at the timer.
The 3 left-most digits won't have changed. 8.063x1067 seconds left to go.
You have to repeat the whole process 1000 times to get 1/3 of the way through that time. 5.385x1067 seconds left to go.
So to kill that time you try something else.
Shuffle a deck of cards, deal yourself 5 cards every billion years
Each time you get a royal flush, buy a lottery ticket
Each time that ticket wins the jackpot, throw a grain of sand in the grand canyon
When the grand canyon's full, take 1oz of rock off Mount Everest, empty the canyon and carry on.
When Everest has been levelled, check the timer.
There's barely any change. 5.364x1067 seconds left.
You'd have to repeat this process 256 times to have run out the timer.
I've seen a a really good explanation of how big 52! actually is.
Set a timer to count down 52! seconds (that's 8.0658x1067 seconds)
Stand on the equator, and take a step forward every billion years
When you've circled the earth once, take a drop of water from the Pacific Ocean, and keep going
When the Pacific Ocean is empty, lay a sheet of paper down, refill the ocean and carry on.
When your stack of paper reaches the sun, take a look at the timer.
The 3 left-most digits won't have changed. 8.063x1067 seconds left to go.
You have to repeat the whole process 1000 times to get 1/3 of the way through that time. 5.385x1067 seconds left to go.
So to kill that time you try something else.
Shuffle a deck of cards, deal yourself 5 cards every billion years
Each time you get a royal flush, buy a lottery ticket
Each time that ticket wins the jackpot, throw a grain of sand in the grand canyon
When the grand canyon's full, take 1oz of rock off Mount Everest, empty the canyon and carry on.
When Everest has been levelled, check the timer.
There's barely any change. 5.364x1067 seconds left.
You'd have to repeat this process 256 times to have run out the timer.
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