Express the following permutations as products of transpositions and identify them as even or odd: (1 7 2 5 4) (1 4 2 3) (1 5 4 6 3 2)
a) (1 7) (7 2) (2 5) (5 4) (1 4) (4 2) (2 3) (1 5) (5 4) (4 6) (6 3) (3 2) - Even
b) (1 7) (7 2) (2 5) (5 4) (1 4) (4 2) (2 3) (1 5) (5 4) (4 6) (6 3) (3 2) - Odd
c) (1 2) (2 3) (3 4) (4 5) (5 6) (6 7) - Even
d) (1 2) (2 3) (3 4) (4 5) (5 6) (6 7) - Odd