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Assume that a 10-D base cuboid contains only three base cells: (1) (a1, d2, d3, d4, ...,d9, d10), (2) (d1,b2, d3, d4,..., d9, d10), and

Assume that a 10-D base cuboid contains only three base cells:

(1) (a1, d2, d3, d4, ...,d9, d10),

(2) (d1,b2, d3, d4,..., d9, d10), and

(3) (d1, d2, c3, d4,..., d9, d10), where a1 d1, b2 d2, and c3 d3. The measure of the cube is count( ).

Answer the following questions:

How many nonempty cuboids will a full data cube contain?

2^10 = 1024 cuboids

How many nonempty aggregate (i.e., nonbase) cells will a full cube contain?

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