SOLUTIONS
straight directions. The trick
consists in the fact that, al-
though the six bottles (3, 5,
6, 9, 10 and 15) in which
the flowers have been placed
are not removed, yet the six-
teen need not occupy exactly
the same position on the table
as before. The square is in
fact formed one step further
to the left.
23.—The Squires Puzzle.
The portrait may be drawn
in a single line because it con-
tains only two points at which an odd number of lines meet, but it is
absolutely necessary to begin at one of these points and end at
the other. One point is near the outer-extremity of the King's left
eye ; the other is below it on the left cheek.
24.—The Friar s Puzzle.
The five hundred silver pennies might have been placed in the
four bags, in accordance with the stated conditions, in exactly
894,348 different ways. If there had been a thousand coins there
would be 7,049,112 ways. It is a difficult problem in the partition
of numbers. I have a single formula for the solution of any number
of coins in the case of four bags, but it was extremely hard to con-
struct, and the best method is to find the twelve separate formulas
for the different congruences to the modulus 12.
25.—The Parson s Puzzle.
A very little examination of the original drawing will have shown
the reader that, as he will have at first read the conditions, the
puzzle is quite impossible of solution. We have therefore to look
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