The number of edges of a polyhedron, which has 7 faces and 10 vertices, is

The correct option is 15.

To find the number of edges of a polyhedron, we can use Euler's Formula for polyhedra, which relates the number of faces, vertices, and edges of any simple convex polyhedron.

Euler's Formula is given by:

$F+V-E=2$

Where:

• $F$ is the number of faces
• $V$ is the number of vertices
• $E$ is the number of edges

From the question, we are given the following values:

• Number of faces ($F$) = 7
• Number of vertices ($V$) = 10

Now, substitute these values into Euler's Formula:

$7+10-E=2$

$17-E=2$

Rearranging the equation to solve for $E$:

$E=17-2$

$E=15$

Thus, the number of edges of the polyhedron is 15.