Knowee
Questions
Features
Study Tools

There are 12 points on a semicircle as shown :Number of triangles that can be made using these points.

Question

There are 12 points on a semicircle as shown:

Number of triangles that can be made using these points.

🧐 Not the exact question you are looking for?Go ask a question

Solution

To find the number of triangles that can be made using these points, we need to use the combination formula. The combination formula is nCr = n! / r!(n-r)!, where n is the total number of items, r is the number of items to choose, and "!" denotes factorial.

Step 1: Identify the total number of points. In this case, n = 12.

Step 2: Identify the number of points to choose to form a triangle. In this case, r = 3.

Step 3: Substitute n and r into the combination formula.

So, 12C3 = 12! / 3!(12-3)! = 220.

Therefore, 220 triangles can be made using these 12 points on a semicircle.

This problem has been solved

Similar Questions

There are 12 points in a plane of which 5 are collinear. The number of triangles is

△ABC has integer sides x, y, and z such that xz = 12. How many such triangles are possible?

The number of straight lines that can be drawn out of 12 points of which 8 are collinear isChoices:- 39 49 59 29

The number of triangles formed by 4 points, when no three points are collinear is:

How many points will be on the face opposite to in face which contains 2 points?

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.