How many triangles in 32 sides?

Answer 1

To find the number of triangles that can be formed from 32 sides (vertices), you can use the combination formula ( C(n, r) ), where ( n ) is the number of vertices and ( r ) is the number of vertices needed to form a triangle (which is 3). Thus, the number of triangles is given by ( C(32, 3) = \frac{32!}{3!(32-3)!} = \frac{32 \times 31 \times 30}{3 \times 2 \times 1} = 4960 ). Therefore, you can form 4,960 triangles from 32 sides.