A curious target
wasdesigned by an eccentric
His idea was that in order to score you must hit four circles in as
many shots so that those four shots shall form a square.
It will be seen by the results recorded on the target that two attempts
have been successful.
The first man hit the four circles at the top of the cross, and thus
formed his square.
The second man intended to hit the four in the bottom arm, but his
second shot, on the left, went too high.
This compelled him to complete his four in a different way than he
It will thus be seen that though it is immaterial which circle you hit
at the first shot, the second shot may commit you to a definite
procedure if you are to get your square.
In just how many
different ways it is possible to
form a square on the target with four shots?