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Q.

If F = n and E = n-1 then what will be the value of V if we use Euler's formula?

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a

2

b

1

c

0

d

3

answer is D.

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Detailed Solution

Euler's formula for polyhedrons gives the relation between the number of faces, edges and vertices in a solid. It is given as:

F - E + V = 2

Where F - faces, E - edges, and V - vertices.

Given: F = n and E = n-1

n - (n-1) + V = 2

n - n + 1 + V = 2

V = 2 - 1 = 1

Therefore, the number of vertices must be 1.

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