Math
How many ways can a deck of cards be shuffled?
A shuffled deck of 52 cards has about 8 × 10⁶⁷ possible orderings. The Big Bang was about 4 × 10¹⁷ seconds ago.
Source: 52! and the Planck 2018 age of the universe (2018).
Context
52 factorial, which is about 8 × 10⁶⁷. For comparison, the Big Bang was about 4 × 10¹⁷ seconds ago, using the Planck 2018 age of the universe.
Even at a billion shuffles a second since the Big Bang you would not come close to trying every ordering. A properly shuffled deck is almost certainly in an order no deck has ever been in before.
This fact sits next to the memory span test. See where you land.
Try the Memory Span test