I have a set of
four dice, not marked with spots
in the ordinary way, but with Arabic figures, as shown in the
illustration.

Each die, of course, bears the numbers 1 to 6.

When put
together they will form a good many, different numbers.

As represented
they make the number 1246.

Now, if I make all
the different four-figure
numbers that are possible with these dice (never putting the same
figure more than once in any number), what will they all add up
to?

You
are allowed to turn the 6 upside down, so as to represent a 9. I do not
ask, or expect, the reader to go to all the labour of writing out the
full list of numbers and then adding them up.

Life is not long enough
for such wasted energy.

Can you get at the
answer in any other way?