If a system has N binary (on/off) inputs, then there are 2N combinations of inputs.
# ghc --show-options | grep '\<XNo' | wc -l
132
# ghci
GHCi, version 9.4.4: https://www.haskell.org/ghc/ :? for help
ghci> 2^132
5444517870735015415413993718908291383296
ghci>
It should already be happening…