Can a polyhedron have 10 faces, 20 edges and 15 vertices? Give reason.

Dear Student,
As, we know Euler's formula:
V-E+F=2
Let us put the given data (i.e, F=10, E=20 and V=15) in the above equation to check :
15-20+10=5$\ne$2
therefore , A polyhedron cannot have 10 faces, 20 edges and 15 vertices .


Regards.