Q.

What is the Euler number of the region shown in the figure below?

What is the Euler number of the region shown in the figure below?
A. 1
B. -2
C. -1
D. 2
Answer» B. -2
Explanation: the polygonal network given in the figure has 7 vertices, 11 edges and 2 faces. thus the euler number is given by the formula,
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