Textbook Problem

Each of the following partitions of $\left\{0,\text{1},\text{2},\text{3},\text{4}\right\}$ induces a relation R on $\left\{0,\text{1},\text{2},\text{3},\text{4}\right\}$ . In each case, find the ordered pairs in R.
a. $\left\{0,\text{2}\right\},\left\{\text{1}\right\},\left\{\text{3},\text{4}\right\}$
b. $\left\{0\right\},\{\text{1},\text{3},\text{4}\},\left\{\text{2}\right\}$
c. $\left\{0\right\},\left\{\text{1},\text{2},\text{3},\text{4}\right\}$