285.--THE FOUR POSTAGE STAMPS.

Referring to the original diagram, the four stamps may be given in the

shape 1, 2, 3, 4, in three ways; in the shape 1, 2, 5, 6, in six ways;

in the shape 1, 2, 3, 5, or 1, 2, 3, 7, or 1, 5, 6, 7, or 3, 5, 6, 7, in

twenty-eight ways; in shape 1, 2, 3, 6, or 2, 5, 6, 7, in fourteen ways;

in shape 1, 2, 6, 7, or 2, 3, 5, 6, or 1, 5, 6, 10, or 2, 5, 6, 9, in

fourteen ways. Thus there are sixty-five ways in all.

Amusements in Mathematics · 第 807 / 970 题