Given S1 = {4, 0, 1, 9, 0, 9, 5, 5} and S2 = {4, 0, 1, 0, 8, 8, 9, 0}

1. Description This assignment is about set manipulations, relations, and functions. It must be done in a group of two students. The first set (S1) consists of the digits from the student ID of the first student in the group. The second set (S2) consists of the digits from the student ID of the second student in the group. For example, if the ID of the first student is 12345678 , then S1={1,2,3,4,5,6,7,8}. 3.8. Using the first half of S1 as the alphabet, how many odd numbers you can construct where each element of the alphabet can only appear once? What are these numbers? Note: if S1 is odd, the middle element of S1 is not part of the alphabet. 3.9. Using the second half of S2 as the alphabet, how many even numbers you can construct where each element of the alphabet can only appear once? What are these numbers? Note: if S2 is odd, the middle element of S2 is part of the alphabet