Guest Session: 1 Question Remaining. Create Account to save progress.
Login
Set Theoryhard
0:00.0

Consider the set S={1,2,…,20}S = \{1, 2, \dots, 20\}S={1,2,…,20}. Let A={x∈S:x≡0(mod2)}A = \{x \in S : x \equiv 0 \pmod 2\}A={x∈S:x≡0(mod2)} and B={x∈S:x≡0(mod3)}B = \{x \in S : x \equiv 0 \pmod 3\}B={x∈S:x≡0(mod3)}. What is the cardinality of the set of elements in SSS that belong to exactly one of AAA or BBB?