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Tamil Nadu Board of Secondary EducationHSC Commerce Class 11

How many triangles can be formed by joining the vertices of a hexagon? - Business Mathematics and Statistics

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Question

How many triangles can be formed by joining the vertices of a hexagon?

Numerical

Solution

A hexagon has six vertices. By joining any three vertices of a hexagon we get a triangle.

∴ Number of triangles formed by joining the vertices of a hexagon = 6C3 = `(6xx5xx4)/(3xx2xx1)` = 20

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Combinations
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Chapter 2: Algebra - Exercise 2.4 [Page 38]

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