can a polyhedron have 12 faces,15 edges , 20 vertices. explain
No.
Because according to Euler's Theorm
Faces + Vertices - edges = 2
But here, faces = 12 , vertices = 15 , edges = 20
so, 12 + 15 - 20 = 7 that is not equal to 2.
This equation is not satisfying.
Hence it is not possible to have such polyhedron.