Summary On Application
- For two sets 𝐴 and 𝐵 the symmetric difference between these two sets is denoted by 𝐴∆𝐵 and is defined as 𝐴∆𝐵 = (𝐴\𝐵) ∪ (𝐵\𝐴) = 𝐴 ∪ 𝐵)\(𝐴 ∩ 𝐵).
- For any two finite sets 𝐴 and 𝐵, $( n(A \cup B) = n(A) + n(B) – n(A \cap B) )$.
- For any two finite sets 𝐴 and 𝐵, $n(A – B) = n(A) – n(A \cap B)$.
- For any two finite sets 𝐴 and 𝐵, $n(A \Delta B) = n(A) + n(B) – 2(A \cap B)$.