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Q.

Which of the following cannot to be true for a polyhedron?


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a

V = 4, F = 4, E = 6

b

V = 6, F = 8, E = 12

c

V = 10, F = 12, E = 20

d

V = 4, F = 6, E = 6 

answer is D.

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Detailed Solution

Given a polyhedron.
Euler's Formula for any polyhedron =F+V-E=2
Where, F = Faces and V = Vertices and E=Edges.
Option 1: F+V-E=4+4-6=2 Option 2: F+V-E=6+8-12=2 Option 3: F+V-E=10+12-20=2 Option 4: F+V-E=4+6-6=42 Therefore, option (4) is correct.
 
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