How many distinct triangles can be drawn by using three of the seven dots below? (Two triangles are considered different if they

Question

3 years ago

9

don’t share the same three vertices.)

1 answer:

jeka57 [31] · Answer 1 · 2022-05-04T00:07:22+03:00

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