If F is the number of faces, V is the number of vertices and E is the number of edges in a figure, then which of the following is correct?

F - V - E = 2

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F + V - E = 2

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F + V + E = 2

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F + V - E = 3

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Solution

The correct option is B F + V - E = 2
By Euler's formula,
Number of faces + number of vertices - number of edges = 2
So, the correct answer is F + V - E = 2.

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