Set Theoryhard
0:00.0

Consider the set S={1,2,,20}S = \{1, 2, \dots, 20\}. Let A={xS:x0(mod2)}A = \{x \in S : x \equiv 0 \pmod 2\} and B={xS:x0(mod3)}B = \{x \in S : x \equiv 0 \pmod 3\}. What is the cardinality of the set of elements in SS that belong to exactly one of AA or BB?