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

Question

Toppr Admin · Accepted Answer

There are 6 vertices of a hexagon- One triangle is formed by selecting a group of 3 vertices from given 6 vertices- This can be done in 6C3 ways-Therefore- number of triangles - 6C3-6-3-3-20

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

There are 6 vertices of a hexagon. One triangle is formed by selecting a group of 3 vertices from given 6 vertices. This can be done in $6_{C_{3}}$ ways.

Therefore, number of triangles = $6_{C_{3}} = \frac{6!}{3! 3!} = 20$

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

There are 6 vertices of a hexagon. One triangle is formed by selecting a group of 3 vertices from given 6 vertices. This can be done in 6C3 ways.Therefore, number of triangles = 6C3=6!3!3!=20

There are 6 vertices of a hexagon. One triangle is formed by selecting a group of 3 vertices from given 6 vertices. This can be done in $6_{C_{3}}$ ways.

Therefore, number of triangles = $6_{C_{3}} = \frac{6!}{3! 3!} = 20$