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A data cube $C,$ has $n$ dimensions, and each dimensions has exactly $p$ distinct values in the base cuboid. Assume that there are no concept hierarchies associated with the dimensions. What is the maximum number of cells possible in the data cube, $C?$

  1. $p^n$
  2. $p$
  3. $(2^n-1)(p+1)$
  4. $(p+1)^n$
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The maximum number of cells possible (including both base cells and aggregate cells) in the data cube, C: (p + 1)n.

So, correct answer is D.

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