Ononot — Let S = \{ (a, b) \in \mathbb{Z}^2 : a^2+b^2 = 5 \}. What is

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Set Theoryhard

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Let $S = \{ (a, b) \in \mathbb{Z}^2 : a^2+b^2 = 5 \}$ . What is the cardinality of the power set of $S$ , denoted by $|P(S)|$ ?