In a polyhedron, if the number of faces, edges and vertices are denoted by F,E and V respectively, then according to Euler's formula

Options

A. F+V-E=2
B. F-V+E=2
C. F-V-E=2
D. F+V=E-2

Answer

To solve the question regarding Euler's formula for polyhedra, we will follow these steps:

### Step-by-Step Solution:

1. **Understanding the Variables**:
- Let \( F \) represent the number of faces of the polyhedron.
- Let \( V \) represent the number of vertices of the polyhedron.
- Let \( E \) represent the number of edges of the polyhedron.

2. **State Euler's Formula**:
- Euler's formula for polyhedra states that:
\[ F + V - E = 2 \]
- This can also be rearranged to:
\[ F + V = E + 2 \]

3. **Rearranging the Formula**:
- If we want to express the relationship in another way, we can rearrange it to:
\[ F + V - E = 2 \]

4. **Conclusion**:
- This formula is fundamental in the study of polyhedra and helps in understanding the relationship between the faces, vertices, and edges of a polyhedron.