Here is a hard puzzle

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You get a deck of 32 total cards.

In those you can enumerate say jack as 8 or queen as 9. The lowest enumeratable number is 6 as the highest 9.

You know have to pick a card from the deck.
Let's say you picked jack which we could call 8 as well if we like.
You now have to pick as many cards so that you count up from 8 (Jack) to 11.

That means, that you now have to take 3 more cards. You now have one stack of cards.

This you need to repeat - pick another random card, let's say queen with the number 9 for instance, and pick two more cards (you got another deck now) - meaning until there are no enumerateable cards anymore.

The knowledge that you now have are the leftout cards, and the number of diffrent stacks.

Here is the question: how big of s number is the sum of all the cards that made the stacks with (You obviously cannot loon)? You can also see this generally and create an equation.