“Shuffle a deck of cards fairly. Now check to see if the deck is in order with aces to kings for each suit and the suits in club, diamonds, hearts and spades sequence. Keep shuffling and checking until the deck is in the described order. There are 52 ! = 8.06581752 × 1067”
Sure seems like you are taking one sequence of many ...
And taking one of many is not a ratio nor is it stating that it is one of many. I took a drink of water today. That action is certainly is not a ratio. But because you are a troll you will ignore that fact.