Colored Hexagon (Part 1)


Number of triangles that can be formed from v e r t i c e s vertices of h e x a g o n hexagon ?

Try more c o l o r e d \color{#0C6AC7}{colored} h e x a g o n \color{#3D99F6}{hexagon} here


The answer is 20.

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1 solution

Sachin Sharma
Sep 2, 2015

A triangle has 3 vertices and hexagon has 6 vertices.

Required triangles can be formed by choosing any 3 vertices from the 6 available vertices. The possible no. of such combinations is 6 C 3 = 20 ^6C_{3}=20

Hence, 20 such triangles can be formed.

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