State true or false. Can a polyhedron have 20 faces, 11 vertices and 30 edges?

True

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False

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Solution

The correct option is B
False

F = 20, V = 11, E = 30

F + V - E = 20 + 11 - 30

= 31 - 30

= 1 ( $\neq$ 2)

Hence Euler's formula is not verified.

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