The following binary tree has as many nodes as possible for a tree of height 5. Definition: A climb
is a path that starts at the root and ends at a leaf. For example, the path indicated by the black
lines is a climb. Notice that as a climb goes from the root to a leaf, it must go either right or left at
each node. We say that a climb has a change of direction if it goes right after having gone left, or
left after having gone right. For example, the climb indicated in the figure above has one change of
direction. How many climbs are there with exactly four changes of direction?.
The following binary tree has as many nodes as possible for .pdf
1. The following binary tree has as many nodes as possible for a tree of height 5. Definition: A climb
is a path that starts at the root and ends at a leaf. For example, the path indicated by the black
lines is a climb. Notice that as a climb goes from the root to a leaf, it must go either right or left at
each node. We say that a climb has a change of direction if it goes right after having gone left, or
left after having gone right. For example, the climb indicated in the figure above has one change of
direction. How many climbs are there with exactly four changes of direction?
