The correct option is C F = 6, V = 4 and E = 6
By the Euler's Relation, we know that
F + V = E + 2.
If F = 4, V = 4 and E = 6
⇒4+4=6+2
⇒8=8
Hence, F + V = E + 2. So, it is true for polyhedron.
If F = 12, V = 20 and E = 30
⇒12+20=30+2
⇒32=32
Hence, F + V = E + 2. So, it is true for polyhedron.
If F = 6, V = 4 and E = 6
⇒6+4=6+2
⇒10≠8
Hence, F+V≠E+2. So, it is not true for polyhedron.
If F = 8, V = 6 and E = 12
⇒8+6=12+2
⇒14=14
Hence, F + V = E + 2. So, it is true for polyhedron.