Question

How many triangle can be for made if all the diagonals from a vertex of a 10 sided polygon are drawn

Answer 1

Answer:

10 sides also means 10 vertices.

Any three of those vertices define a triangle.

So, the number of triangles that can be formed is the same as the combinations of 10 items taken 3 at a time.

C(10, 3) = 10!/[3!*(10 - 3)!] = 8*9*10/(1*2*3)–120 Ans