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