puzzle is to lay on water,
gas, and electricity, from W, G, and E, to each of the three houses, A,
B, and C, without any pipe crossing another. Take your pencil and draw
lines showing how this should be done. You will soon find yourself
landed in difficulties.

[Illustration]

252.--A PUZZLE FOR MOTORISTS.

[Illustration]

Eight motorists drove to church one morning. Their respective houses
and churches, together with the only roads available (the dotted lines),
are shown. One went from his house A to his church A, another from his
house B to his church B, another from C to C, and so on, but it was
afterwards found that no driver ever crossed the track of another car.
Take your pencil and try to trace out their various routes.

253.--A BANK HOLIDAY PUZZLE.

Two friends were spending their bank holiday on a cycling trip. Stopping
for a rest at a village inn, they consulted a route map, which is
represented in our illustration in an exceedingly simplified form, for
the puzzle is interesting enough without all the original complexities.
They started from the town in the top left-hand corner marked A. It will
be seen that there are one hundred and twenty such towns, all connected
by straight roads. Now they discovered that there are exactly 1,365
different routes by which they may reach their destination, always
travelling either due south or due east. The puzzle is to discover which
town is their destination.

[Illustration]

Of course, if you find that there are more than 1,365 different routes
to a town it cannot be the right one.

254.--THE MOTOR-CAR TOUR.

[Illustration]

In the above diagram the circles represent towns and the lines good
roads. In just how many different ways can a motorist, starting from
London (marked with an L), make a tour of all these towns, visiting
every town once, and only once, on a tour, and always coming back to
London on the last ride? The exact reverse of any route is not counted
as different.

255.--THE LEVEL PUZZLE.

[Illustration]

This is a simple counting puzzle. In how many different ways can you
spell out the word LEVEL by placing the point of your pencil on an L and
then passing along the lines from letter to letter. You may go in any
direction, backwards or forwards. Of course you are not allowed to miss
letters--that is to say, if you come to a letter you must use it.

256.--THE DIAMOND PUZZLE.

IN how many different ways may the word DIAMOND be