Question

can any polyhedron have 10 faces, 23edges,15 vertices​

Answer 1

No way.

A polyhedron cannot have 10 faces, 23edges,15 vertices.

Answer 2

${\underline{\underline{\huge{\mathfrak{\green{Answer:-}}}}}}$

According to Euler's formula,

No. of faces + No. of vertices - No. of edges = 2

=> 10 + 15 - 23 = 2

=> 25 - 23 = 2

=> 2 = 2

Since Euler's formula is satisfied, such a polygon is possible.