Answer:
6
Step-by-step explanation:
Total number of subsets is given as
[tex] {2}^{n} [/tex]
But the subset of a set consists of the proper subsets, an empty set and the set itself.
Total number of subsets are 64
Therefore,
[tex] {2}^{n} = 64[/tex]
[tex] {2}^{n} = {2}^{6} [/tex]
Comparing both sides
[tex]n = 6[/tex]
