What can we say about the cardinality of the set of real numbers compared to the cardniality of the set of all languages on

$\{0,1\}$ :

a$.$ Both sets have the same cardinality because both real numbers and languages on $\{0,1\}$ can be represented by

unique infinite binary strings

b$.$ The are at least as many languages over $\{0,1\}$ as there are real numbers.

c$.$ The cardinality of the set of real numbers is larger than the cardinality of languages on $\{0,1\}$ because real numbers

can be represented over $\{0,1,2,3,4,5,6,7,9\}$ which is an alphabet $5$ times larger than $\{0,1\}$