421.--A CHAIN PUZZLE.

From Amusements in Mathematics by Henry Ernest Dudeney.

To open and rejoin a link costs threepence. Therefore to join the nine pieces into an endless chain would cost 2s. 3d., whereas a new chain would cost 2s. 2d. But if we break up the piece of eight links, these eight will join together the remaining eight pieces at a cost of 2s. But there is a subtle way of even improving on this. Break up the two pieces containing three and four links respectively, and these seven will join together the remaining seven pieces at a cost of only 1s. 9d.

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421.--A CHAIN PUZZLE.: Amusements in Mathematics by Henry Ernest Dudeney | amphi