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Flura [38]
3 years ago
9

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.)

Mathematics
1 answer:
jeka57 [31]3 years ago
5 0

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

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