1 2 3 4 5 6 7 8 9 10
ent pictures. The owner always keeps No. 1 at one end of the row,
and never allows Nos. 3 and 5 to be put side by side.
The tradesman's customer, having obtained this information, thinks
it a good puzzle to work out in how many ways the boxes may be
arranged on the counter so that the order of the five pictures in
front shall never be twice alike. He found the making of the count
a tough little nut. Can you work out the answer without getting
your brain into a tangle ? Of course, two similar pictures may be
in a row, as it is all a question of their order.
The Four Porkers.
The four pigs are so placed, each in a separate sty, that although
every one of the
thirty-six sties is in a
straight line (either
horizontally, vertic-
ally, or diagonally),
with at least one of
the pigs, yet no pig is
in line with another.
In how many differ-
ent ways may the
four pigs be placed
to fulfil these con-
ditions ? If you turn
this page round you
get three more ar-
rangements, and if
you turn it round in
front of a mirror you get four more. These are not to be counted
as different arrangements.
The Number Blocks.
The children in the illustration have found that a large number of
very interesting and instructive puzzles may be made out of number
> ftet>

Copyright © MyMathForum 2006