The table shows the operation * on the set {x, y, z, w}.
| * | X | Y | Z | W |
| X | Y | Z | X | W |
| Y | Z | W | Y | X |
| Z | X | Y | Z | W |
| W | W | X | W | Z |
Find the identity of the element.
W
Y
Z
X
Correct answer is C
From the table, x * z = x, y * z = y, z * z = z and w * z = w
∴ z is the identity element