Consider the following set of ordered pairs of the elements of a set A = {1,2, 3, 4} of numbers and a set C = {a, b, c, d, e} of letters. {(1, a) , (2, b) , (3, c) , (4, e)} Select all options true of this set. This is not a map from A to C. This is a map from A to C and is onto, This is a map from A to C and is one-to-one. This is a map from A to C and is neither one-to-one nor onto.

2. Let A = {1,2, 3}, B = {4, 5, 6}, C = {7,8, 9}. Consider the relations R from A to B, S from B to C, and T on A. R = {(1, 5), (2, 4), (1, 6)} S = {(4, 8), (5, 7), (6, 8), (6, 9)} Т 3 {(1,2), (2, 3), (3, 1), (1, 1), (2, 2), (3, 3)} Find the following relations (a) Find the compositions Ro S, T o R, T o T. (b) Find the matrices MR, Ms, MT, MTOT, MTOR and MRos of the respective relations R, S, т, То Т, То R, and Ro S.