# Statement TRUE or FALSE: there exist more non-deterministic TMs than deterministic TMs

Statement TRUE or FALSE:

There exist more non-deterministic TMs than deterministic TMs

For my point of view (I ask if it’s correct):

Under the assumption $$P \neq NP$$, the Statement is TRUE because (1) P is a subset on NP and (2) P is a special case of non-determinism.

Under the assumption $$P = NP$$, the Statement is FALSE, because for each deterministic TM we have a non-deterministic TM.