Since there are 3 spaces in between each symbol, 33 of the spaces are already accounted for. That leaves us with just 12 spaces we can place freely.

We have 11 spots to place additional spaces, so that gives us possible combinations.

It's not clear to me whether the symbols are already in a predefined order, or if we can also move the 12 symbols in any order. If you can move them, then you should multiply the answer above by .