Answer
see picture
Work Step by Step
To solve this puzzle using a graph, introduce a notation in
which, for example, wc/ f g means that the wolf and the
cabbage are on the left bank of the river and the ferryman
and the goat are on the right bank. Then draw those
arrangements of wolf, cabbage, goat, and ferryman that can
be reached from the initial arrangement (wgcf/) and that
are not arrangements to be avoided (such as (wg/ f c)). At
each stage ask yourself, “Where can I go from here?” and
draw lines or arrows pointing to those arrangements. This
method gives the graph shown at the top of the next column
