Answers 389
- THE HANDCUFFED PRISONERS
The following is a solution. Every prisoner will be found to have been hand-
cuffed to every other prisoner once, and only once.
1-2-3 2-6-8 6-1-7 1-4-8 7-2-9 4-3-1 4-5-6 5-9-1 9-4-2 2-5-7 3-6-4
5-8-2 7-8-9 3-7-4 8-3-5 6-9-3 8-1-5 9-7-6
If the reader wants a hard puzzle to keep him engrossed during the winter
months, let him try to arrange twenty-one prisoners so that they can all walk
out, similarly handcuffed in triplets, on fifteen days without any two men
being handcuffed together more than once.
In case he should come to the opinion that the task is impossible, we will
add that we have written out a perfect solution. But it is a hard nut!
- SEATING THE PARTY
The number of different ways in which the six occupants of the car can be
seated under the conditions is 144.
- QUEER GOLF
The two best distances are 100 yards (called "the approach"), and 125 yards
("the drive"). Hole I can be reached in three approaches, hole 2 in two drives,
hole 3 in two approaches, hole 4 in two approaches and one drive, hole 5 in
three drives and one backward approach, hole 6 in two drives and one ap-
proach, hole 7 in one drive and one approach, hole 8 in three drives, and hole 9
in four approaches-26 strokes in all.
- THE ARCHERY MATCH
Mrs. Finch scored 100 with four 17's and two 16's; Reggie Watson scored
llO with two 23's and four 16's; Miss Dora Talbot scored 120 with one 40 and
five 16's. Her score can be made up in various ways, except for the fact that
the bull's-eye has to be got in somewhere, and this is the only place where it
can occur.