Suppose that A = {1, 2, 3, . . . , 271}.

Find the number of sets B in P(Z+) such that A is a subset of B where P(Z+) is the powerset of the set of all positive integers.

Would this question be infinite? Since Integers are infinite, then the powerset would be infinite. As long as B has elements {1, 2, ... , 271} it can have an infinite amount of any other elements and A would still be a subset of B.

Thanks for the help.