How many distinct triangles can be drawn by using three of the seven dots below? (Two triangles are considered different if they don’t share the same three vertices.)

How many distinct triangles can be drawn by using three of the seven dots below Two triangles are considered different if they dont share the same three vertice class=

Respuesta :

Answer:

35triangles

Step-by-step explanation:

Given

Total distinct points = 7

If we are to form triangles using the dots,

Total points in a triangle = 3

Using the combination rule;

number of triangles formed = 7C3

7C3 = 7!/(7-3)!3!

7C3 = 7!/4!3!

7C3 = 7*6*5*4!/4!3!

7C3 = 7*6*5/6

7C3 = 7*5

7C3 = 35

Hence the amount of triangles that can be formed is 35triangles