12) a) Suppose A = {0,1,2,3,4} and P= {(3,4},{0,1},{2}} is a partition of A. Identify the relation R induced by P on A. b) Suppose A = {0.1,2,3,4} and R= {(0,0). (0,4).(1,1).(1,3).(2,2).(3.1)....

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Extracted text: 12) a) Suppose A = {0,1,2,3,4} and P= {(3,4},{0,1},{2}} is a partition of A. Identify the relation R induced by P on A. b) Suppose A = {0.1,2,3,4} and R= {(0,0). (0,4).(1,1).(1,3).(2,2).(3.1). (3,3).(4,0), (4,4)} is an equivalence relation on A. Find the partition P induced by R.