Question: A data cube, (C), has (n) dimensions, and each dimension has exactly (p) distinct values in the base cuboid. Assume that there are no concept

A data cube, $C$, has $n$ dimensions, and each dimension has exactly $p$ distinct values in the base cuboid. Assume that there are no concept hierarchies associated with the dimensions.

a. What is the maximum number of cells possible in the base cuboid?

b. What is the minimum number of cells possible in the base cuboid?

c. What is the maximum number of cells possible (including both base cells and aggregate cells) in the $C$ data cube?

d. What is the minimum number of cells possible in $C$ ?

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