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Let N be the set of natural number

Consider the following sets
P: Set of Rational numbers (positive and negative)
Q: Set of functions from {0, 1} to N
R: Set of functions from N to {0, 1}
S: Set of finite subset of N.

Which of the sets above are countable?

 
Q and S only
P and S only
P and R only
P, Q and S only

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If a set S is countable, then P(S) i.e 2^S is uncountable.