275.--THE SIXTEEN SHEEP.

[Illustration:

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Here is a new puzzle with matches and counters or coins. In the

illustration the matches represent hurdles and the counters sheep. The

sixteen hurdles on the outside, and the sheep, must be regarded as

immovable; the puzzle has to do entirely with the nine hurdles on the

inside. It will be seen that at present these nine hurdles enclose four

groups of 8, 3, 3, and 2 sheep. The farmer requires to readjust some of

the hurdles so as to enclose 6, 6, and 4 sheep. Can you do it by only

replacing two hurdles? When you have succeeded, then try to do it by

replacing three hurdles; then four, five, six, and seven in succession.

Of course, the hurdles must be legitimately laid on the dotted lines,

and no such tricks are allowed as leaving unconnected ends of hurdles,

or two hurdles placed side by side, or merely making hurdles change

places. In fact, the conditions are so simple that any farm labourer

will understand it directly.

Amusements in Mathematics · 第 311 / 970 题