the power set of a set with n elements is 2n This holds for

the power set of a set with n elements is 2^n. This holds for an infinite set?

the power set of set with n elements 2^n holds for finite sets

lets take n = 5

the string 00000 is a set containg 0 elements

tge string 10000 is a set containg only 1st ellemnt

so there would be 2^5 different strings and it would contain 5 characters

therefore, it holds for only finite sets