Question: Would love some help on this question. The answer is not a pentagonal prism as it doesn't fulfill all rules. The answer is not infinite

Would love some help on this question. The answer is not a pentagonal prism as it doesn't fulfill all rules. The answer is not infinite and it does have a integer answer for each required portion.

Would love some help on this question. The answer
A convex polyhedron is made out of equilateral triangles and regular pentagons. Five faces meet at each vertex, including at least one triangle and at least one pentagon. Determine the number of vertices, faces, and edges in the polyhedron

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