In a regular polygon with 15 sides, find the number of triangles
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We need 3 sides to make a triangle
so
r = 3
n = 15
(formula to find the number of the triangle is nC3)
15C3
= 15!/(15-3)3!
= 15!/12! × 3!
= 15×14×13×12!/12! × 3×2×1
= 5 × 7 × 13
= 455
so
r = 3
n = 15
(formula to find the number of the triangle is nC3)
15C3
= 15!/(15-3)3!
= 15!/12! × 3!
= 15×14×13×12!/12! × 3×2×1
= 5 × 7 × 13
= 455
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