Thank you for your detailed advice, Rob.
Let me try to describe the game flow in a few words. A player has some special cards (pocket interactive doors to other worlds, like in Roger Zelazny’s Chronicles of Amber), four cards for the beginning and up to 100 at the final level.
But to use them, they must be placed on the desk in a correct order. Correct means only one right place for every card.
So, more cards, more difficult to solve the puzzle. I suppose that for the player it would be suitable not to reload a whole scene or get a temporary scene to see a result. When he notice something wrong in his desicion, he could make a reset, i. e. return cards to the initial stage on the desk.