Set Theorymedium
0:00.0

Let A={xN:x100 and x is a multiple of 3}A = \{x \in \mathbb{N} : x \le 100 \text{ and } x \text{ is a multiple of } 3\} and B={xN:x100 and x is a multiple of 5}B = \{x \in \mathbb{N} : x \le 100 \text{ and } x \text{ is a multiple of } 5\}. If CC is the set of all even integers, find the cardinality of the set (AB)C(A \cap B) \setminus C.