282.--THE ANTIQUARY'S CHAIN.

An antiquary possessed a number of curious old links, which he took to a

blacksmith, and told him to join together to form one straight piece of

chain, with the sole condition that the two circular links were not to

be together. The following illustration shows the appearance of the

chain and the form of each link. Now, supposing the owner should

separate the links again, and then take them to another smith and repeat

his former instructions exactly, what are the chances against the links

being put together exactly as they were by the first man? Remember that

every successive link can be joined on to another in one of two ways,

just as you can put a ring on your finger in two ways, or link your

forefingers and thumbs in two ways.

[Illustration]

Amusements in Mathematics · 第 319 / 970 题