Variables that persist across Game Rounds?

I want to have an array that has its elements shuffled at the start of the game, but then remains persistent across the following rounds and not shuffling again.

Ideally, I would then have an integer that increases by one each round (unless there is a way to get the current round number?) and use it to get a different element in the array for each round.

Is there a way to achieve this?

Thanks in advance!