Suppose 27 identical cubes are glued together to form a cubical stack, as illustrated below.

If one of the small cubes is omitted, four distinct shapes are possible. If two of the small cubes are omitted rather than just one, twenty-two distinct shapes are possible (see previously submitted Cubicle Stack at BrainDen.com).

Now, if three of the cubelets are omitted, how many distinct shapes are possible?

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## rocdocmac 9

Suppose 27 identical cubes are glued together to form a cubical stack, as illustrated below.

If

oneof the small cubes is omitted,fourdistinct shapes are possible. Iftwoof the small cubes are omitted rather than just one,twenty-twodistinct shapes are possible (see previously submittedCubicle Stackat BrainDen.com).Now, if

threeof the cubelets are omitted, how many distinct shapes are possible?## Link to post

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