536 Puzzles and Curious Problems

(Elliott) #1
Miscellaneous Combinatorial Puzzles 179

be handcuffed together. It will be
seen how they were sent out on Mon-
day. Can you arrange the nine men
in triplets for the remaining five days?
It will be seen that number I can-
not again be handcuffed to number 2
(on either side), nor number 2 with
number 3, but, of course, number I
and number 3 can be put together.
Therefore, it is quite a different prob-
lem from the old one of the Fifteen
Schoolgirls, and it will be found to
be a fascinating teaser and amply re-
pay for the leisure time spent on its
solution.


465. SEATING THE PARTY

As the Crackham family were taking their seats on starting out on their tour
Dora asked in how many different ways they could all be seated, as there were
six of them and six seats-one beside the driver, two with their backs to the
driver, and two behind, facing the driver-if no two of the same sex are ever
to sit side by side?
As the Colonel, Uncle Jabez, and George were the only ones who could
drive, it required just a little thinking out. Perhaps the reader will like to
work out the answer concerning which they were all agreed at the end of the
day.



  1. QUEER GOLF


A certain links had nine holes, 300, 250, 200, 325, 275, 350, 225, 375, and
400 yards apart. If a man could always strike the ball in a perfectly straight
line and send it exactly one of two distances, so that it would either go
towards the hole, pass over it, or drop into it, what would the two distances
be that would carry him in the least number of strokes round the whole course?
Two very good distances are 125 and 75, which carry you round in twenty-
eight strokes, but this is not the correct answer.

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