Question:
Which one of the following represents the total number of faces in the given graph
Which one of the following represents the total number of faces in the given graph
Show Hint
Use Euler’s formula: \(F = E - V + 2\).
Updated On: Jul 2, 2026
- \(4\)
- \(7\)
- \(8\)
- \(6\)
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The Correct Option is C
Solution and Explanation
Concept:
Euler’s formula for planar graph:
\[
F = E - V + 2
\]
Step 1: Count vertices (V) From figure: \(V = 5\)
Step 2: Count edges (E) From diagram: \(E = 11\)
Step 3: Apply Euler formula \[ F = 11 - 5 + 2 \]
Step 4: Calculate \[ F = 8 \]
Step 5: Conclusion \[ \boxed{8} \]
Step 1: Count vertices (V) From figure: \(V = 5\)
Step 2: Count edges (E) From diagram: \(E = 11\)
Step 3: Apply Euler formula \[ F = 11 - 5 + 2 \]
Step 4: Calculate \[ F = 8 \]
Step 5: Conclusion \[ \boxed{8} \]
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