A k-pyramid Pk is the convex hull of a (k 1)-polytope Q and a point x

Question:

A k-pyramid Pk is the convex hull of a (k –1)-polytope Q and a point x ∉ aff Q. Find a formula for each of the following in terms of f_j (Q), j = 0,.......,n – 1.
a. The number of vertices of Pⁿ: f₀(Pⁿ).
b. The number of k-faces of Pⁿ:f_k(Pⁿ), for 1 ≤ k ≤ n – 2.
c. The number of (n – 1)-dimensional facets of Pⁿ: f_{n – 1}(Pⁿ).