Set Theorymedium
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Let AA and BB be subsets of the set of positive integers less than or equal to 100: A={nN:1n100 and gcd(n,15)=1}A = \{n \in \mathbb{N} : 1 \leq n \leq 100 \text{ and } \gcd(n, 15) = 1\} B={nN:1n100 and gcd(n,10)=1}B = \{n \in \mathbb{N} : 1 \leq n \leq 100 \text{ and } \gcd(n, 10) = 1\} Find the cardinality of the intersection ABA \cap B.