296.--THE FOUR LIONS.

The puzzle is to find in how many different ways the four lions may be

placed so that there shall never be more than one lion in any row or

column. Mere reversals and reflections will not count as different.

Thus, regarding the example given, if we place the lions in the other

diagonal, it will be considered the same arrangement. For if you hold

the second arrangement in front of a mirror or give it a quarter turn,

you merely get the first arrangement. It is a simple little puzzle, but

requires a certain amount of careful consideration.

[Illustration

+---+---+---+---+

| L | | | |

+---+---+---+---+

| | L | | |

+---+---+---+---+

| | | L | |

+---+---+---+---+

| | | | L |

+---+---+---+---+

]

Amusements in Mathematics · 第 341 / 970 题