Same as the cardinality of all reals. In fact, the cardinality of the set of all reals between 0 and 1 is the same as the cardinality of the set of all reals. en.wikipedia.org/…/Cardinality_of_the_continuum#S…

Glad you made me look though, I hadn’t thought about whether there were sets with cardinality greater than the cardinality of the continuum.