five, and the sum of the pips on the three dominoes in the middle is
also five. There are just three other arrangements giving five for the
additions. They are: --

(1--0) (0--0) (0--2) (2--1) (1--3)
(4--0) (0--0) (0--2) (2--1) (1--0)
(2--0) (0--0) (0--1) (1--3) (3--0)

Now, how many similar arrangements are there of five dominoes that shall
give six instead of five in the two additions?


380.--THE DOMINO FRAME PUZZLE.

[Illustration]

It will be seen in the illustration that the full set of twenty-eight
dominoes is arranged in the form of a square frame, with 6 against 6, 2
against 2, blank against blank, and so on, as in the game. It will be
found that the pips in the top row and left-hand column both add up 44.
The pips in the other two sides sum to 59 and 32 respectively. The
puzzle is to rearrange the dominoes in the same form so that all of the
four sides shall sum to 44. Remember that the dominoes must be correctly
placed one against another as in the game.


381.--THE CARD FRAME PUZZLE.

In the illustration we have a frame constructed from the ten playing
cards, ace to ten of diamonds. The children who made it wanted the pips