in
the cyclopaedia. What was it? Can you place those fifteen sheep?
263.--KING ARTHUR'S KNIGHTS.
King Arthur sat at the Round Table on three successive evenings with his
knights--Beleobus, Caradoc, Driam, Eric, Floll, and Galahad--but on no
occasion did any person have as his neighbour one who had before sat
next to him. On the first evening they sat in alphabetical order round
the table. But afterwards King Arthur arranged the two next sittings so
that he might have Beleobus as near to him as possible and Galahad as
far away from him as could be managed. How did he seat the knights to
the best advantage, remembering that rule that no knight may have the
same neighbour twice?
264.--THE CITY LUNCHEONS.
Twelve men connected with a large firm in the City of London sit down to
luncheon together every day in the same room. The tables are small ones
that only accommodate two persons at the same time. Can you show how
these twelve men may lunch together on eleven days in pairs, so that no
two of them shall ever sit twice together? We will represent the men by
the first twelve letters of the alphabet, and suppose the first day's
pairing to be as follows--
(A B) (C D) (E F) (G H) (I J) (K L).
Then give any pairing you like for the next day, say--
(A C) (B D) (E G) (F H) (I K) (J L),
and so on, until you have completed your eleven lines, with no pair ever
occurring twice. There are a good many different arrangements possible.
Try to find one of them.
265.--A PUZZLE FOR CARD-PLAYERS.
Twelve members of a club arranged to play bridge together on eleven
evenings, but no player was ever to have the same partner more than
once, or the same opponent more than twice. Can you draw up a scheme
showing how they may all sit down at three tables every evening? Call
the twelve players by the first twelve letters of the alphabet and try
to group them.
266.--A TENNIS TOURNAMENT.
Four married couples played a "mixed double" tennis tournament, a man
and a lady always playing against a man and a lady. But no person ever
played with or against any other person more than once. Can you show how
they all could have played together in the two courts on three
successive days? This is a little puzzle of a quite practical kind, and
it is just perplexing enough to be interesting.
267.--THE WRONG HATS.
"One of the most perplexing things I have come across lately," said Mr.
Wilson, "is this. Eight men had bee
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