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Logicmedium
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A set SSS contains all integers nnn such that 1≤n≤1001 \leq n \leq 1001≤n≤100. Let A={n∈S∣n is divisible by 2}A = \{n \in S \mid n \text{ is divisible by } 2\}A={n∈S∣n is divisible by 2} and B={n∈S∣n is divisible by 3}B = \{n \in S \mid n \text{ is divisible by } 3\}B={n∈S∣n is divisible by 3}. How many elements are in A∪BA \cup BA∪B?