## BUILDING THE TETRAHEDRON.

(

Combination and Group Problems)

I possess a tetrahedron, or triangular pyramid, formed of six sticks

glued together, as shown in the illustration. Can you count correctly

the number of different ways in which these six sticks might have been

stuck together so as to form the pyramid?

Some friends worked at it together one evening, each person providing

himself with six lucifer matches to aid his thoughts; but it was found

that no two results were the same. You see, if we remove one of the

sticks and turn it round the other way, that will be a different

pyramid. If we make two of the sticks change places the result will

again be different. But remember that every pyramid may be made to stand

on either of its four sides without being a different one. How many ways

are there altogether?

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PAINTING A PYRAMID.
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THE BARRELS OF BALSAM.