How many faces, edges and vertices does a hexagonal pyramid have?

There are 7 faces, 12 edges and 24 vertices in a hexagonal pyramid.

Since the base is hexagonal, the pyramid will have one additional triangular face for each edge of the base.  That makes for a total of 7 faces: 6 triangular faces plus one hexagonal face.
The base provides 6 vertices, and the top of the pyramid adds 1 more, for a total of 7 vertices. 
There are 6 edges made up by the base, and 6 more shared edges extending from there to the top for a total of 12 edges.

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