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Question -

Can a polyhedron have 10 faces, 20 edges and 15 vertices?



Answer -

Here faces = 10, Edges = 20, Vertices = 15
According to EulerтАЩs Formula:
F + V тАУ E = 2
тЗТ 10 + 15 тАУ 20 = 25 тАУ 20
тЗТ 5 тЙа 2
A polyhedron do not have 10 Faces, 20 Edges and 15 Vertices.

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