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Set Theorymedium
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Let A={x∈Z:x2−5x+6=0}A = \{x \in \mathbb{Z} : x^2 - 5x + 6 = 0\}A={x∈Z:x2−5x+6=0} and B={y∈Z:1≤y2≤10}B = \{y \in \mathbb{Z} : 1 \leq y^2 \leq 10\}B={y∈Z:1≤y2≤10}. Determine the cardinality of the set C={(a,b)∈A×B:a+b is even}C = \{(a, b) \in A \times B : a + b \text{ is even}\}C={(a,b)∈A×B:a+b is even}.