Shuffling of Playing Cards

 

Every shuffling of playing cards is a permutation.

If we use 32 playing cards, then there are 32! permutations.


"Every permutation has finite order" - this means:

If we repeat the shuffling, then after a while
the playing cards will suddenly lie in the original order ...

Of course, this only concerns  

systematic shuffling

(this means: shuffling using a fixed system - magicians can do this!)