Let T be an ordered tree with more than one node.

(a) Is it possible that the preorder traversal of T could visit the nodes in the same order as the postorder traversal of T? If so, give an example; otherwise argue why this cannot occur.

(b) Is it possible the postorder traversal of T visits the nodes in the reverse order of the preorder traversal of T? If so, give an example; otherwise argue why this cannot occur.

(c) If the inorder traversal of T is identical to the preorder traversal of T, what does T look like (you may wish to draw a diagram).