If a polyhedron has 14 faces and 26 vertices, then it has ___ edges.

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None of these

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Solution

The correct option is D
None of these

F=14, V=26, E=?

$F + V - E = 2$

$14 + 26 - E = 2$

$40 - E = 2$

$E = 38$

Hence, polyhedron has 38 edges.

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