A man was in love
with a young lady
whose name was Hannah.
When he asked her to be his wife she wrote down the letters of her name
in this manner:
and promised that
she would be his if he could
tell her correctly in how many different ways it was possible to spell
out her name, always passing from one letter to another that was
adjacent.
Diagonal steps are here allowed.
Take your pencil and try.
You may start from any of the H's and go backwards or forwards and in
any direction, so long as all the letters in a spelling are adjoining
one another.
How many ways are there, no two exactly alike?