there is just the one script
run it with swift comboCalc.swift

this uses cocoa, if anybody cares.

Note

don't put very large numbers in. these sorts of calculations get REALLY BIG, REALLY QUICKLY, and this thing isn't designed for beefy maths - although if you want to change that, knock yourself (and your computer) out!!! and then come commit the changes for everyone else :)
id say about 20 is max, but feel free to test it - the worst that will happen is the script crashing.

Explanation:

(this is also written in the script)

quick variables:

• y = characters
• x = spaces
• z, w, etc. = factors of x; rotation, for example. A combination of combinations!
• C(x,y) = representative of the combinations between characters and spaces, with repeats unspecified.

The actual formulas:

• If x can be repeated: x^y

  • Each number can be used more than once in the combination - say if y=3, then 225, 363 are all possible.

• If x cannot repeat: x!/(x-y)!

• Say x is a combination itself - multi factor combination: C(x,y) * C(z,y) * C(w,y) - and so on for each value under x

  • See z & w above - We're now calculating a combination of combinations: Let's arrange 5 squares - thats x. As well as combination of x, each of x - those squares - could also be rotated up to 4 times - z! And maybe the squares can't repeat but the same rotation can appear multiple times...
    So x in itself could be a combination! MAYBE EVEN A COMBINATION OF COMBINATIONS!!

im finished now

if you actually want to get a good understanding of this, go read the functions section of the script. lots of good stuff there.

i hope you understand what I mean see the about panel for info: Menu bar > swift-frontend > About Script

the Spaces input is equivalent to y above same with Inputs = x Factor 1 & Factor 2 = z & w

There you go.

Note

ChatGPT helped a little bit.
Though, only a little, mind! I did actually do a lot of it!!! Aaand, I actually took in and tried to understand what was happening.
Happy? OK, fine, keep saying I got the AI to do it... Some people, you'll just never get through to...