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

1.	Can a polyhedron have 10 faces, 20 edges and 15 vertices?
Answer» If F = 10, V = 15 and E = 20. Then, we know Using Euler’s formula, F + V – E = 2 L.H.S. = F + V – E = 10 + 15 – 20 = 25 – 20 = 5 R.H.S. = 2 L.H.S. ≠ R.H.S. Therefore, it does not follow Euler’s formula.

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