Question

Given the partition {{a,b,c}, {d}, {e, f}} of A = {a, b, c, d, e, f} list the ordered pairs in theequivalence relation generated by the partition.

Answer 1

The ordered pairs generated by the partition are:

`\begin{gathered} \text{For }\mleft\lbrace a,b,c\mright\rbrace\colon \\ (a,a),(a,b),(a,c),(b,a),(b,b),(b,c),(c,a),(c,b),(c,c) \\ \text{For }\mleft\lbrace d\mright\rbrace\colon \\ (d,d) \\ \text{For }\mleft\lbrace e,f\mright\rbrace\colon \\ (e,e),(e,f),(f,e),(f,f) \end{gathered}`

Above there are all the ordered pairs.